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256742406669 = 37571144714797
BaseRepresentation
bin1110111100011100001…
…0100011101000001101
3220112200211010121021210
43233013002203220031
513201302024003134
6313540144445033
724356213310030
oct3570702435015
9815624117253
10256742406669
119997a439171
1241912619779
131b297bc4138
14c5d8077017
156a29bee2e9
hex3bc70a3a0d

256742406669 has 32 divisors (see below), whose sum is σ = 392209033216. Its totient is φ = 146341909440.

The previous prime is 256742406667. The next prime is 256742406671. The reversal of 256742406669 is 966604247652.

256742406669 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (256742406667) and next prime (256742406671).

It is not a de Polignac number, because 256742406669 - 21 = 256742406667 is a prime.

It is a super-2 number, since 2×2567424066692 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256742406667) 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 31 ways as a sum of consecutive naturals, for example, 17343579 + ... + 17358375.

It is an arithmetic number, because the mean of its divisors is an integer number (12256532288).

Almost surely, 2256742406669 is an apocalyptic number.

It is an amenable number.

256742406669 is a deficient number, since it is larger than the sum of its proper divisors (135466626547).

256742406669 is a wasteful number, since it uses less digits than its factorization.

256742406669 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16825.

The product of its (nonzero) digits is 26127360, while the sum is 57.

The spelling of 256742406669 in words is "two hundred fifty-six billion, seven hundred forty-two million, four hundred six thousand, six hundred sixty-nine".

Divisors: 1 3 7 21 571 1447 1713 3997 4341 10129 11991 14797 30387 44391 103579 310737 826237 2478711 5783659 8449087 17350977 21411259 25347261 59143609 64233777 149878813 177430827 449636439 12225828889 36677486667 85580802223 256742406669