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115025432432 = 241941149241257
BaseRepresentation
bin110101100100000001…
…1001100111101110000
3101222220022122101200012
41223020003030331300
53341033002314212
6124501510114052
711211303020651
oct1531003147560
9358808571605
10115025432432
1144866948959
121a36194b928
13ab016c1771
1457d27c5528
152ed33c4922
hex1ac80ccf70

115025432432 has 160 divisors (see below), whose sum is σ = 243875016000. Its totient is φ = 52376371200.

The previous prime is 115025432429. The next prime is 115025432443. The reversal of 115025432432 is 234234520511.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 447569648 + ... + 447569904.

It is an arithmetic number, because the mean of its divisors is an integer number (1524218850).

Almost surely, 2115025432432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115025432432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121937508000).

115025432432 is an abundant number, since it is smaller than the sum of its proper divisors (128849583568).

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

115025432432 is a wasteful number, since it uses less digits than its factorization.

115025432432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

Adding to 115025432432 its reverse (234234520511), we get a palindrome (349259952943).

The spelling of 115025432432 in words is "one hundred fifteen billion, twenty-five million, four hundred thirty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 19 38 41 76 82 149 152 164 241 257 298 304 328 482 514 596 656 779 964 1028 1192 1558 1928 2056 2384 2831 3116 3856 4112 4579 4883 5662 6109 6232 9158 9766 9881 10537 11324 12218 12464 18316 19532 19762 21074 22648 24436 35909 36632 38293 39064 39524 42148 45296 48872 61937 71818 73264 76586 78128 79048 84296 97744 116071 123874 143636 153172 158096 168592 187739 200203 232142 247748 287272 306344 375478 400406 464284 495496 574544 612688 682271 727567 750956 800812 928568 990992 1176803 1364542 1455134 1472269 1501912 1570013 1601624 1857136 2353606 2539417 2729084 2910268 2944538 3003824 3140026 3203248 4707212 5078834 5458168 5820536 5889076 6280052 9228613 9414424 10157668 10916336 11641072 11778152 12560104 18457226 18828848 20315336 23556304 25120208 27973111 29830247 36914452 40630672 48248923 55946222 59660494 73828904 96497846 111892444 119320988 147657808 175343647 192995692 223784888 238641976 350687294 378373133 385991384 447569776 477283952 701374588 756746266 771982768 1402749176 1513492532 2805498352 3026985064 6053970128 7189089527 14378179054 28756358108 57512716216 115025432432