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256191409926 = 23310388751929
BaseRepresentation
bin1110111010011000110…
…0101010111100000110
3220111021102100001212000
43232212030222330012
513144140000104201
6313405343010130
724336443024364
oct3564614527406
9814242301760
10256191409926
1199717410161
1241799b99946
131b20a9c506a
14c584c08634
1569e6660d86
hex3ba632af06

256191409926 has 64 divisors (see below), whose sum is σ = 575500723200. Its totient is φ = 84471069888.

The previous prime is 256191409889. The next prime is 256191409931. The reversal of 256191409926 is 629904191652.

256191409926 is a `hidden beast` number, since 2 + 5 + 61 + 91 + 409 + 92 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4907530 + ... + 4959458.

It is an arithmetic number, because the mean of its divisors is an integer number (8992198800).

Almost surely, 2256191409926 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256191409926, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287750361600).

256191409926 is an abundant number, since it is smaller than the sum of its proper divisors (319309313274).

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

256191409926 is a wasteful number, since it uses less digits than its factorization.

256191409926 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52930 (or 52924 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The spelling of 256191409926 in words is "two hundred fifty-six billion, one hundred ninety-one million, four hundred nine thousand, nine hundred twenty-six".

Divisors: 1 2 3 6 9 18 27 54 103 206 309 618 887 927 1774 1854 2661 2781 5322 5562 7983 15966 23949 47898 51929 91361 103858 155787 182722 274083 311574 467361 548166 822249 934722 1402083 1644498 2466747 2804166 4933494 5348687 10697374 16046061 32092122 46061023 48138183 92122046 96276366 138183069 144414549 276366138 288829098 414549207 829098414 1243647621 2487295242 4744285369 9488570738 14232856107 28465712214 42698568321 85397136642 128095704963 256191409926