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64000126656 = 2632111111331
BaseRepresentation
bin111011100110101101…
…000110111011000000
320010012021112021221100
4323212231012323000
52022033013023111
645222400454400
74423661046354
oct734655067300
9203167467840
1064000126656
1125162448464
12104a161a400
13605c3c443b
143151c3b464
1519e8a00756
hexee6b46ec0

64000126656 has 42 divisors (see below), whose sum is σ = 183444809132. Its totient is φ = 21333375360.

The previous prime is 64000126649. The next prime is 64000126679. The reversal of 64000126656 is 65662100046.

It is a happy number.

64000126656 is a `hidden beast` number, since 640 + 0 + 0 + 1 + 2 + 6 + 6 + 5 + 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 64000126656.

It is an unprimeable number.

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, 55555090 + ... + 55556241.

Almost surely, 264000126656 is an apocalyptic number.

It is an amenable number.

64000126656 is an abundant number, since it is smaller than the sum of its proper divisors (119444682476).

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

64000126656 is a wasteful number, since it uses less digits than its factorization.

64000126656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111111349 (or 111111336 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 64000126656 in words is "sixty-four billion, one hundred twenty-six thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 111111331 222222662 333333993 444445324 666667986 888890648 1000001979 1333335972 1777781296 2000003958 2666671944 3555562592 4000007916 5333343888 7111125184 8000015832 10666687776 16000031664 21333375552 32000063328 64000126656