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114759853552368 = 24332979011159381
BaseRepresentation
bin11010000101111110011100…
…010011100011001011110000
3120001022221020111202101011000
4122011332130103203023300
5110020211140002133433
61044023540544322000
733113061103251123
oct3205763423431360
9501287214671130
10114759853552368
1133625420602212
1210a5528a913300
134c05a66839cab
14204a5997d63ba
15d402791eb113
hex685f9c4e32f0

114759853552368 has 160 divisors (see below), whose sum is σ = 340805440180800. Its totient is φ = 36929499264000.

The previous prime is 114759853552361. The next prime is 114759853552381. The reversal of 114759853552368 is 863255358957411.

114759853552368 is a `hidden beast` number, since 1 + 1 + 4 + 7 + 5 + 9 + 8 + 5 + 3 + 552 + 3 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 114759853552296 and 114759853552305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114759853552361) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98404038 + ... + 99563418.

It is an arithmetic number, because the mean of its divisors is an integer number (2130034001130).

Almost surely, 2114759853552368 is an apocalyptic number.

114759853552368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114759853552368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170402720090400).

114759853552368 is an abundant number, since it is smaller than the sum of its proper divisors (226045586628432).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

114759853552368 is a wasteful number, since it uses less digits than its factorization.

114759853552368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1167328 (or 1167316 counting only the distinct ones).

The product of its digits is 1088640000, while the sum is 72.

The spelling of 114759853552368 in words is "one hundred fourteen trillion, seven hundred fifty-nine billion, eight hundred fifty-three million, five hundred fifty-two thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 36 48 54 58 72 87 108 116 144 174 216 232 261 348 432 464 522 696 783 1044 1392 1566 2088 3132 4176 6264 7901 12528 15802 23703 31604 47406 63208 71109 94812 126416 142218 189624 213327 229129 284436 379248 426654 458258 568872 687387 853308 916516 1137744 1159381 1374774 1706616 1833032 2062161 2318762 2749548 3413232 3478143 3666064 4124322 4637524 5499096 6186483 6956286 8248644 9275048 10434429 10998192 12372966 13912572 16497288 18550096 20868858 24745932 27825144 31303287 32994576 33622049 41737716 49491864 55650288 62606574 67244098 83475432 98983728 100866147 125213148 134488196 166950864 201732294 250426296 268976392 302598441 403464588 500852592 537952784 605196882 806929176 907795323 1210393764 1613858352 1815590646 2420787528 3631181292 4841575056 7262362584 9160269281 14524725168 18320538562 27480807843 36641077124 54961615686 73282154248 82442423529 109923231372 146564308496 164884847058 219846462744 247327270587 265647809149 329769694116 439692925488 494654541174 531295618298 659539388232 796943427447 989309082348 1062591236596 1319078776464 1593886854894 1978618164696 2125182473192 2390830282341 3187773709788 3957236329392 4250364946384 4781660564682 6375547419576 7172490847023 9563321129364 12751094839152 14344981694046 19126642258728 28689963388092 38253284517456 57379926776184 114759853552368