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256105664 = 2615126501
BaseRepresentation
bin11110100001111…
…01110011000000
3122211220111220222
433100331303000
51011030340124
641225122212
76226601513
oct1720756300
9584814828
10256105664
11121623a81
1271929368
134109c819
1426028d7a
151773d25e
hexf43dcc0

256105664 has 28 divisors (see below), whose sum is σ = 511594608. Its totient is φ = 127200000.

The previous prime is 256105651. The next prime is 256105669. The reversal of 256105664 is 466501652.

256105664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2561056642 = 131180222265761792, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (256105669) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3587 + ... + 22914.

It is an arithmetic number, because the mean of its divisors is an integer number (18271236).

Almost surely, 2256105664 is an apocalyptic number.

It is an amenable number.

256105664 is a deficient number, since it is larger than the sum of its proper divisors (255488944).

256105664 is a wasteful number, since it uses less digits than its factorization.

256105664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26664 (or 26654 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 35.

The square root of 256105664 is about 16003.3016593452. The cubic root of 256105664 is about 635.0477687420.

The spelling of 256105664 in words is "two hundred fifty-six million, one hundred five thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 151 302 604 1208 2416 4832 9664 26501 53002 106004 212008 424016 848032 1696064 4001651 8003302 16006604 32013208 64026416 128052832 256105664