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2256281808156 = 2232157219712907
BaseRepresentation
bin100000110101010100111…
…000000010110100011100
321222200212011021121212200
4200311110320002310130
5243431331120330111
64444304353331500
7322003523634225
oct40652470026434
97880764247780
102256281808156
1179a97a294522
12305348266b90
131349c6bba6bc
147b2c16aa24c
153da57548256
hex20d54e02d1c

2256281808156 has 108 divisors (see below), whose sum is σ = 5769521365608. Its totient is φ = 743452504704.

The previous prime is 2256281808113. The next prime is 2256281808191. The reversal of 2256281808156 is 6518081826522.

2256281808156 is a `hidden beast` number, since 2 + 2 + 5 + 628 + 1 + 8 + 0 + 8 + 1 + 5 + 6 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 174804255 + ... + 174817161.

It is an arithmetic number, because the mean of its divisors is an integer number (53421494126).

Almost surely, 22256281808156 is an apocalyptic number.

It is an amenable number.

2256281808156 is an abundant number, since it is smaller than the sum of its proper divisors (3513239557452).

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

2256281808156 is a wasteful number, since it uses less digits than its factorization.

2256281808156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13428 (or 13266 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 54.

The spelling of 2256281808156 in words is "two trillion, two hundred fifty-six billion, two hundred eighty-one million, eight hundred eight thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 157 197 314 394 471 591 628 788 942 1182 1413 1773 1884 2364 2826 3546 5652 7092 12907 24649 25814 30929 38721 49298 51628 61858 73947 77442 92787 98596 116163 123716 147894 154884 185574 221841 232326 278361 295788 371148 443682 464652 556722 887364 1113444 2026399 2542679 4052798 4855853 5085358 6079197 7628037 8105596 9711706 10170716 12158394 14567559 15256074 18237591 19423412 22884111 24316788 29135118 30512148 36475182 43702677 45768222 58270236 72950364 87405354 91536444 174810708 318144643 399200603 636289286 798401206 954433929 1197601809 1272578572 1596802412 1908867858 2395203618 2863301787 3592805427 3817735716 4790407236 5726603574 7185610854 11453207148 14371221708 62674494671 125348989342 188023484013 250697978684 376046968026 564070452039 752093936052 1128140904078 2256281808156