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12765970368 = 263222163143
BaseRepresentation
bin10111110001110100…
…10011111111000000
31012221200102111011100
423320322103333000
5202121042022433
65510431014400
7631231646334
oct137072237700
935850374140
1012765970368
11546106a538
12258336a400
131285a61528
148916497c4
154eab24b13
hex2f8e93fc0

12765970368 has 42 divisors (see below), whose sum is σ = 36591350744. Its totient is φ = 4255323264.

The previous prime is 12765970367. The next prime is 12765970387. The reversal of 12765970368 is 86307956721.

12765970368 is a `hidden beast` number, since 1 + 276 + 5 + 9 + 7 + 0 + 368 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12765970367) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 11080996 + ... + 11082147.

Almost surely, 212765970368 is an apocalyptic number.

12765970368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12765970368 is an abundant number, since it is smaller than the sum of its proper divisors (23825380376).

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

12765970368 is a wasteful number, since it uses less digits than its factorization.

12765970368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22163161 (or 22163148 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 12765970368 in words is "twelve billion, seven hundred sixty-five million, nine hundred seventy thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 22163143 44326286 66489429 88652572 132978858 177305144 199468287 265957716 354610288 398936574 531915432 709220576 797873148 1063830864 1418441152 1595746296 2127661728 3191492592 4255323456 6382985184 12765970368