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10925631432 = 2333376173307
BaseRepresentation
bin10100010110011011…
…11110011111001000
31001012102111120202000
422023031332133020
5134333430201212
65004050111000
7534514222602
oct121315763710
931172446660
1010925631432
1146a7263671
12214ab7b460
1310516b9591
14759072172
1543e29e1dc
hex28b37e7c8

10925631432 has 256 divisors, whose sum is σ = 32218771200. Its totient is φ = 3426416640.

The previous prime is 10925631403. The next prime is 10925631467. The reversal of 10925631432 is 23413652901.

10925631432 is a `hidden beast` number, since 1 + 0 + 92 + 563 + 1 + 4 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 35588223 + ... + 35588529.

It is an arithmetic number, because the mean of its divisors is an integer number (125854575).

Almost surely, 210925631432 is an apocalyptic number.

10925631432 is a gapful number since it is divisible by the number (12) 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 10925631432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16109385600).

10925631432 is an abundant number, since it is smaller than the sum of its proper divisors (21293139768).

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

10925631432 is a wasteful number, since it uses less digits than its factorization.

10925631432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 10925631432 in words is "ten billion, nine hundred twenty-five million, six hundred thirty-one thousand, four hundred thirty-two".