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14752288680 = 2335316536073
BaseRepresentation
bin11011011110100111…
…00000111110101000
31102002010000220122020
431233103200332220
5220203041214210
610435504424440
71031401245663
oct155723407650
942063026566
1014752288680
116290311918
122a38618120
1315114282cc
149dd3826da
155b51d3770
hex36f4e0fa8

14752288680 has 128 divisors (see below), whose sum is σ = 45762001920. Its totient is φ = 3800586240.

The previous prime is 14752288673. The next prime is 14752288687. The reversal of 14752288680 is 8688225741.

It is a Cunningham number, because it is equal to 1214592-1.

It is an interprime number because it is at equal distance from previous prime (14752288673) and next prime (14752288687).

It is a super-2 number, since 2×147522886802 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14752288687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2426124 + ... + 2432196.

It is an arithmetic number, because the mean of its divisors is an integer number (357515640).

Almost surely, 214752288680 is an apocalyptic number.

14752288680 is a gapful number since it is divisible by the number (10) 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 14752288680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22881000960).

14752288680 is an abundant number, since it is smaller than the sum of its proper divisors (31009713240).

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

14752288680 is a wasteful number, since it uses less digits than its factorization.

14752288680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6771 (or 6767 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 51.

The spelling of 14752288680 in words is "fourteen billion, seven hundred fifty-two million, two hundred eighty-eight thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 310 372 465 620 653 744 930 1240 1306 1860 1959 2612 3265 3720 3918 5224 6073 6530 7836 9795 12146 13060 15672 18219 19590 20243 24292 26120 30365 36438 39180 40486 48584 60729 60730 72876 78360 80972 91095 101215 121458 121460 145752 161944 182190 188263 202430 242916 242920 303645 364380 376526 404860 485832 564789 607290 728760 753052 809720 941315 1129578 1214580 1506104 1882630 2259156 2429160 2823945 3765260 3965669 4518312 5647890 7530520 7931338 11295780 11897007 15862676 19828345 22591560 23794014 31725352 39656690 47588028 59485035 79313380 95176056 118970070 122935739 158626760 237940140 245871478 368807217 475880280 491742956 614678695 737614434 983485912 1229357390 1475228868 1844036085 2458714780 2950457736 3688072170 4917429560 7376144340 14752288680