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256311778632 = 233713117358873
BaseRepresentation
bin1110111010110101011…
…1110101110101001000
3220111120210211102200020
43232231113311311020
513144411303404012
6313425322540440
724342434112510
oct3565527656510
9814523742606
10256311778632
1199779353a28
1241812367720
131b22991aa50
14c596bbc840
156a01edaa8c
hex3bad5f5d48

256311778632 has 64 divisors (see below), whose sum is σ = 788651633280. Its totient is φ = 67598710272.

The previous prime is 256311778631. The next prime is 256311778637. The reversal of 256311778632 is 236877113652.

256311778632 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (256311778631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58677253 + ... + 58681620.

It is an arithmetic number, because the mean of its divisors is an integer number (12322681770).

Almost surely, 2256311778632 is an apocalyptic number.

It is an amenable number.

256311778632 is an abundant number, since it is smaller than the sum of its proper divisors (532339854648).

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

256311778632 is a wasteful number, since it uses less digits than its factorization.

256311778632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117358902 (or 117358898 counting only the distinct ones).

The product of its digits is 2540160, while the sum is 51.

The spelling of 256311778632 in words is "two hundred fifty-six billion, three hundred eleven million, seven hundred seventy-eight thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 182 273 312 364 546 728 1092 2184 117358873 234717746 352076619 469435492 704153238 821512111 938870984 1408306476 1525665349 1643024222 2464536333 2816612952 3051330698 3286048444 4576996047 4929072666 6102661396 6572096888 9153992094 9858145332 10679657443 12205322792 18307984188 19716290664 21359314886 32038972329 36615968376 42718629772 64077944658 85437259544 128155889316 256311778632