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12641650976 = 251723238329
BaseRepresentation
bin10111100011000000…
…00100100100100000
31012122000111102000102
423301200010210200
5201342230312401
65450230241532
7625162155203
oct136140044440
935560442012
1012641650976
1153a7978539
1225497b62a8
131266084566
1487cd2793a
154dec6956b
hex2f1804920

12641650976 has 24 divisors (see below), whose sum is σ = 26352266220. Its totient is φ = 5949011968.

The previous prime is 12641650951. The next prime is 12641650999. The reversal of 12641650976 is 67905614621.

It can be written as a sum of positive squares in 2 ways, for example, as 9471960976 + 3169690000 = 97324^2 + 56300^2 .

It is a super-2 number, since 2×126416509762 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12641650976.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11618621 + ... + 11619708.

Almost surely, 212641650976 is an apocalyptic number.

12641650976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12641650976 is an abundant number, since it is smaller than the sum of its proper divisors (13710615244).

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

12641650976 is a wasteful number, since it uses less digits than its factorization.

12641650976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23238356 (or 23238348 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 47.

The spelling of 12641650976 in words is "twelve billion, six hundred forty-one million, six hundred fifty thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 544 23238329 46476658 92953316 185906632 371813264 395051593 743626528 790103186 1580206372 3160412744 6320825488 12641650976