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114717663432 = 233222325492803
BaseRepresentation
bin110101011010110110…
…1001010000011001000
3101222002212112002222100
41222311231022003020
53334420210212212
6124411153353400
711200545023151
oct1526555120310
9358085462870
10114717663432
1144719148509
121a296868860
13aa82a03728
1457a398c928
152eb637dbdc
hex1ab5b4a0c8

114717663432 has 96 divisors (see below), whose sum is σ = 312320736000. Its totient is φ = 38039234688.

The previous prime is 114717663427. The next prime is 114717663439. The reversal of 114717663432 is 234366717411.

114717663432 is a `hidden beast` number, since 1 + 1 + 4 + 7 + 1 + 7 + 6 + 634 + 3 + 2 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (114717663439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40925343 + ... + 40928145.

It is an arithmetic number, because the mean of its divisors is an integer number (3253341000).

Almost surely, 2114717663432 is an apocalyptic number.

114717663432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

114717663432 is an abundant number, since it is smaller than the sum of its proper divisors (197603072568).

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

114717663432 is a wasteful number, since it uses less digits than its factorization.

114717663432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5587 (or 5580 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The spelling of 114717663432 in words is "one hundred fourteen billion, seven hundred seventeen million, six hundred sixty-three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 223 446 669 892 1338 1784 2007 2549 2676 2803 4014 5098 5352 5606 7647 8028 8409 10196 11212 15294 16056 16818 20392 22424 22941 25227 30588 33636 45882 50454 61176 67272 91764 100908 183528 201816 568427 625069 1136854 1250138 1705281 1875207 2273708 2500276 3410562 3750414 4547416 5000552 5115843 5625621 6821124 7144847 7500828 10231686 11251242 13642248 14289694 15001656 20463372 21434541 22502484 28579388 40926744 42869082 45004968 57158776 64303623 85738164 128607246 171476328 257214492 514428984 1593300881 3186601762 4779902643 6373203524 9559805286 12746407048 14339707929 19119610572 28679415858 38239221144 57358831716 114717663432