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56201445664 = 25713171135291
BaseRepresentation
bin110100010101110111…
…100000000100100000
312101001202221020210121
4310111313200010200
51410100032230124
641452452010024
74026503256160
oct642567400440
9171052836717
1056201445664
1121920283a61
12aa85900914
1353b87aaac0
142a121ba5a0
1516de0202e4
hexd15de0120

56201445664 has 96 divisors (see below), whose sum is σ = 144191166336. Its totient is φ = 20925665280.

The previous prime is 56201445581. The next prime is 56201445673. The reversal of 56201445664 is 46654410265.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 56201445664.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 518142 + ... + 617149.

It is an arithmetic number, because the mean of its divisors is an integer number (1501991316).

Almost surely, 256201445664 is an apocalyptic number.

It is an amenable number.

56201445664 is an abundant number, since it is smaller than the sum of its proper divisors (87989720672).

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

56201445664 is a wasteful number, since it uses less digits than its factorization.

56201445664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1135338 (or 1135330 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 43.

The spelling of 56201445664 in words is "fifty-six billion, two hundred one million, four hundred forty-five thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 13 14 16 17 26 28 32 34 52 56 68 91 104 112 119 136 182 208 221 224 238 272 364 416 442 476 544 728 884 952 1456 1547 1768 1904 2912 3094 3536 3808 6188 7072 12376 24752 49504 1135291 2270582 4541164 7947037 9082328 14758783 15894074 18164656 19299947 29517566 31788148 36329312 38599894 59035132 63576296 77199788 103311481 118070264 127152592 135099629 154399576 206622962 236140528 250899311 254305184 270199258 308799152 413245924 472281056 501798622 540398516 617598304 826491848 1003597244 1080797032 1652983696 1756295177 2007194488 2161594064 3305967392 3512590354 4014388976 4323188128 7025180708 8028777952 14050361416 28100722832 56201445664