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56281742304 = 2534313634143
BaseRepresentation
bin110100011010101001…
…110011101111100000
312101021101000202002020
4310122221303233200
51410231111223204
641504441021440
74031466626154
oct643251635740
9171241022066
1056281742304
1121961638017
12aaa8784880
1353cc3131c8
142a1cb1d064
1516e60d1bd9
hexd1aa73be0

56281742304 has 48 divisors (see below), whose sum is σ = 151175388672. Its totient is φ = 18324286848.

The previous prime is 56281742281. The next prime is 56281742333. The reversal of 56281742304 is 40324718265.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 6812944 + ... + 6821199.

It is an arithmetic number, because the mean of its divisors is an integer number (3149487264).

Almost surely, 256281742304 is an apocalyptic number.

It is an amenable number.

56281742304 is an abundant number, since it is smaller than the sum of its proper divisors (94893646368).

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

56281742304 is a wasteful number, since it uses less digits than its factorization.

56281742304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13634199 (or 13634191 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The spelling of 56281742304 in words is "fifty-six billion, two hundred eighty-one million, seven hundred forty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 86 96 129 172 258 344 516 688 1032 1376 2064 4128 13634143 27268286 40902429 54536572 81804858 109073144 163609716 218146288 327219432 436292576 586268149 654438864 1172536298 1308877728 1758804447 2345072596 3517608894 4690145192 7035217788 9380290384 14070435576 18760580768 28140871152 56281742304