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10064069136 = 2432116353579
BaseRepresentation
bin10010101111101110…
…11000001000010000
3221222101022200110100
421113313120020100
5131102400203021
64342351532400
7504253114302
oct112767301020
927871280410
1010064069136
1142a49a5110
121b4a52a100
13c450605c4
146b687d972
153dd816626
hex257dd8210

10064069136 has 60 divisors (see below), whose sum is σ = 30725912880. Its totient is φ = 3049717440.

The previous prime is 10064069123. The next prime is 10064069177. The reversal of 10064069136 is 63196046001.

10064069136 is a `hidden beast` number, since 1 + 0 + 0 + 640 + 6 + 9 + 1 + 3 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10064069136.

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, 3175206 + ... + 3178373.

It is an arithmetic number, because the mean of its divisors is an integer number (512098548).

Almost surely, 210064069136 is an apocalyptic number.

10064069136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10064069136 is an abundant number, since it is smaller than the sum of its proper divisors (20661843744).

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

10064069136 is a wasteful number, since it uses less digits than its factorization.

10064069136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6353604 (or 6353595 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 10064069136 in words is "ten billion, sixty-four million, sixty-nine thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 792 1584 6353579 12707158 19060737 25414316 38121474 50828632 57182211 69889369 76242948 101657264 114364422 139778738 152485896 209668107 228728844 279557476 304971792 419336214 457457688 559114952 629004321 838672428 914915376 1118229904 1258008642 1677344856 2516017284 3354689712 5032034568 10064069136