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10040913648 = 2432157444131
BaseRepresentation
bin10010101100111110…
…00010111011110000
3221220202202021002200
421112133002323300
5131030433214043
64340203343200
7503552233503
oct112637027360
927822667080
1010040913648
11429291a047
121b42821b00
13c40313b2c
146b377313a
153db7907d3
hex2567c2ef0

10040913648 has 60 divisors (see below), whose sum is σ = 28279660968. Its totient is φ = 3325645440.

The previous prime is 10040913583. The next prime is 10040913683. The reversal of 10040913648 is 84631904001.

10040913648 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 0 + 9 + 1 + 3 + 648 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 199458 + ... + 244673.

Almost surely, 210040913648 is an apocalyptic number.

10040913648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10040913648 is an abundant number, since it is smaller than the sum of its proper divisors (18238747320).

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

10040913648 is a wasteful number, since it uses less digits than its factorization.

10040913648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444302 (or 444293 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 10040913648 in words is "ten billion, forty million, nine hundred thirteen thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 157 314 471 628 942 1256 1413 1884 2512 2826 3768 5652 7536 11304 22608 444131 888262 1332393 1776524 2664786 3553048 3997179 5329572 7106096 7994358 10659144 15988716 21318288 31977432 63954864 69728567 139457134 209185701 278914268 418371402 557828536 627557103 836742804 1115657072 1255114206 1673485608 2510228412 3346971216 5020456824 10040913648