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11432510432 = 257531317351
BaseRepresentation
bin10101010010110111…
…00100001111100000
31002111202021201000022
422221123210033200
5141403210313212
65130234213012
7553210510130
oct125133441740
932452251008
1011432510432
114937399332
122270884168
13110270c795
147a64d8ac0
1546da25772
hex2a96e43e0

11432510432 has 96 divisors (see below), whose sum is σ = 26412148224. Its totient is φ = 4769856000.

The previous prime is 11432510431. The next prime is 11432510437. The reversal of 11432510432 is 23401523411.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11432510431) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1551557 + ... + 1558907.

It is an arithmetic number, because the mean of its divisors is an integer number (275126544).

Almost surely, 211432510432 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 11432510432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13206074112).

11432510432 is an abundant number, since it is smaller than the sum of its proper divisors (14979637792).

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

11432510432 is a wasteful number, since it uses less digits than its factorization.

11432510432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7552 (or 7544 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The spelling of 11432510432 in words is "eleven billion, four hundred thirty-two million, five hundred ten thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 53 56 106 112 131 212 224 262 371 424 524 742 848 917 1048 1484 1696 1834 2096 2968 3668 4192 5936 6943 7336 7351 11872 13886 14672 14702 27772 29344 29404 48601 51457 55544 58808 97202 102914 111088 117616 194404 205828 222176 235232 388808 389603 411656 777616 779206 823312 962981 1555232 1558412 1646624 1925962 2727221 3116824 3851924 5454442 6233648 6740867 7703848 10908884 12467296 13481734 15407696 21817768 26963468 30815392 43635536 51037993 53926936 87271072 102075986 107853872 204151972 215707744 357265951 408303944 714531902 816607888 1429063804 1633215776 2858127608 5716255216 11432510432