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10004065812 = 22331327126293
BaseRepresentation
bin10010101000100100…
…11110111000010100
3221211012102012101000
421110102132320110
5130442020101222
64332405503300
7502624104426
oct112422367024
927735365330
1010004065812
114274041794
121b32411b30
13c357b1c90
146ac900816
153d84129ac
hex25449ee14

10004065812 has 96 divisors (see below), whose sum is σ = 28035714560. Its totient is φ = 3066698880.

The previous prime is 10004065811. The next prime is 10004065843. The reversal of 10004065812 is 21856040001.

10004065812 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 4 + 0 + 658 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10004065811) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 367338 + ... + 393630.

Almost surely, 210004065812 is an apocalyptic number.

10004065812 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 10004065812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14017857280).

10004065812 is an abundant number, since it is smaller than the sum of its proper divisors (18031648748).

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

10004065812 is a wasteful number, since it uses less digits than its factorization.

10004065812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26590 (or 26582 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 10004065812 in words is "ten billion, four million, sixty-five thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 271 351 468 542 702 813 1084 1404 1626 2439 3252 3523 4878 7046 7317 9756 10569 14092 14634 21138 26293 29268 31707 42276 52586 63414 78879 95121 105172 126828 157758 190242 236637 315516 341809 380484 473274 683618 709911 946548 1025427 1367236 1419822 2050854 2839644 3076281 4101708 6152562 7125403 9228843 12305124 14250806 18457686 21376209 28501612 36915372 42752418 64128627 85504836 92630239 128257254 185260478 192385881 256514508 277890717 370520956 384771762 555781434 769543524 833672151 1111562868 1667344302 2501016453 3334688604 5002032906 10004065812