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117449780832 = 25321573078461
BaseRepresentation
bin110110101100010001…
…1010110111001100000
3102020011021111001110200
41231120203112321200
53411014120441312
6125542232225200
711325341444046
oct1553043267140
9366137431420
10117449780832
11458a038077a
121a91983b200
13b0c9a53b47
145982782396
1530c615a0dc
hex1b588d6e60

117449780832 has 144 divisors (see below), whose sum is σ = 337259914992. Its totient is φ = 38769269760.

The previous prime is 117449780797. The next prime is 117449780839. The reversal of 117449780832 is 238087944711.

117449780832 is a `hidden beast` number, since 1 + 1 + 74 + 497 + 8 + 0 + 83 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1174497808322 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117449780839) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13877082 + ... + 13885542.

It is an arithmetic number, because the mean of its divisors is an integer number (2342082743).

Almost surely, 2117449780832 is an apocalyptic number.

117449780832 is a gapful number since it is divisible by the number (12) 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 117449780832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168629957496).

117449780832 is an abundant number, since it is smaller than the sum of its proper divisors (219810134160).

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

117449780832 is a wasteful number, since it uses less digits than its factorization.

117449780832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8941 (or 8930 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 117449780832 in words is "one hundred seventeen billion, four hundred forty-nine million, seven hundred eighty thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 157 288 307 314 471 614 628 921 942 1228 1256 1413 1842 1884 2456 2512 2763 2826 3684 3768 4912 5024 5526 5652 7368 7536 8461 9824 11052 11304 14736 15072 16922 22104 22608 25383 29472 33844 44208 45216 48199 50766 67688 76149 88416 96398 101532 135376 144597 152298 192796 203064 270752 289194 304596 385592 406128 433791 578388 609192 771184 812256 867582 1156776 1218384 1328377 1542368 1735164 2313552 2436768 2597527 2656754 3470328 3985131 4627104 5195054 5313508 6940656 7792581 7970262 10390108 10627016 11955393 13881312 15585162 15940524 20780216 21254032 23377743 23910786 31170324 31881048 41560432 42508064 46755486 47821572 62340648 63762096 83120864 93510972 95643144 124681296 127524192 187021944 191286288 249362592 374043888 382572576 407811739 748087776 815623478 1223435217 1631246956 2446870434 3262493912 3670305651 4893740868 6524987824 7340611302 9787481736 13049975648 14681222604 19574963472 29362445208 39149926944 58724890416 117449780832