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54230371700256 = 2532892115729233
BaseRepresentation
bin11000101010010011111100…
…00010101000111000100000
321010000101001211211212211200
430111021332002220320200
524102002300123402011
6311201031104241200
714265005110524303
oct1425117602507040
9233011054755750
1054230371700256
1116308a76050884
1260ba261910200
132434b95c1613b
14d56a9a58cb3a
156409ca63b856
hex31527e0a8e20

54230371700256 has 72 divisors (see below), whose sum is σ = 155950401838140. Its totient is φ = 17873680551936.

The previous prime is 54230371700233. The next prime is 54230371700261. The reversal of 54230371700256 is 65200717303245.

54230371700256 is a `hidden beast` number, since 5 + 4 + 23 + 0 + 371 + 7 + 0 + 0 + 256 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 47063935619856 + 7166436080400 = 6860316^2 + 2677020^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1057838985 + ... + 1057890248.

Almost surely, 254230371700256 is an apocalyptic number.

It is an amenable number.

54230371700256 is an abundant number, since it is smaller than the sum of its proper divisors (101720030137884).

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

54230371700256 is a wasteful number, since it uses less digits than its factorization.

54230371700256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2115729338 (or 2115729327 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 45.

The spelling of 54230371700256 in words is "fifty-four trillion, two hundred thirty billion, three hundred seventy-one million, seven hundred thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 89 96 144 178 267 288 356 534 712 801 1068 1424 1602 2136 2848 3204 4272 6408 8544 12816 25632 2115729233 4231458466 6347187699 8462916932 12694375398 16925833864 19041563097 25388750796 33851667728 38083126194 50777501592 67703335456 76166252388 101555003184 152332504776 188299901737 203110006368 304665009552 376599803474 564899705211 609330019104 753199606948 1129799410422 1506399213896 1694699115633 2259598820844 3012798427792 3389398231266 4519197641688 6025596855584 6778796462532 9038395283376 13557592925064 18076790566752 27115185850128 54230371700256