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10042410432 = 26363182891
BaseRepresentation
bin10010101101001001…
…10000010111000000
3221220212120022022010
421112210300113000
5131031324113212
64340255412520
7503601036345
oct112644602700
927825508263
1010042410432
11429375165a
121b43224140
13c407191c2
146b3a427cc
153db98903c
hex2569305c0

10042410432 has 56 divisors (see below), whose sum is σ = 26612973952. Its totient is φ = 3342124800.

The previous prime is 10042410409. The next prime is 10042410437. The reversal of 10042410432 is 23401424001.

It is a junction number, because it is equal to n+sod(n) for n = 10042410399 and 10042410408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10042410437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 79707 + ... + 162597.

Almost surely, 210042410432 is an apocalyptic number.

10042410432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10042410432 is an abundant number, since it is smaller than the sum of its proper divisors (16570563520).

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

10042410432 is an equidigital number, since it uses as much as digits as its factorization.

10042410432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83537 (or 83527 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 10042410432 its reverse (23401424001), we get a palindrome (33443834433).

The spelling of 10042410432 in words is "ten billion, forty-two million, four hundred ten thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 631 1262 1893 2524 3786 5048 7572 10096 15144 20192 30288 40384 60576 82891 121152 165782 248673 331564 497346 663128 994692 1326256 1989384 2652512 3978768 5305024 7957536 15915072 52304221 104608442 156912663 209216884 313825326 418433768 627650652 836867536 1255301304 1673735072 2510602608 3347470144 5021205216 10042410432