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10041677424 = 2432233299287
BaseRepresentation
bin10010101101000011…
…11101011001110000
3221220211012001210200
421112201331121300
5131031132134144
64340231555200
7503561564322
oct112641753160
927824161720
1010041677424
1142932a0969
121b42b2bb00
13c4052067c
146b38d1612
153db891c69
hex25687d670

10041677424 has 60 divisors (see below), whose sum is σ = 28223456976. Its totient is φ = 3332848896.

The previous prime is 10041677407. The next prime is 10041677501. The reversal of 10041677424 is 42477614001.

It is a happy number.

10041677424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 116092 + ... + 183195.

Almost surely, 210041677424 is an apocalyptic number.

It is an amenable number.

10041677424 is an abundant number, since it is smaller than the sum of its proper divisors (18181779552).

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

10041677424 is a wasteful number, since it uses less digits than its factorization.

10041677424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299534 (or 299525 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 10041677424 in words is "ten billion, forty-one million, six hundred seventy-seven thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 233 466 699 932 1398 1864 2097 2796 3728 4194 5592 8388 11184 16776 33552 299287 598574 897861 1197148 1795722 2394296 2693583 3591444 4788592 5387166 7182888 10774332 14365776 21548664 43097328 69733871 139467742 209201613 278935484 418403226 557870968 627604839 836806452 1115741936 1255209678 1673612904 2510419356 3347225808 5020838712 10041677424