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56055616064 = 267409305927
BaseRepresentation
bin110100001101001011…
…001101001001000000
312100200121112100012022
4310031023031021000
51404300214203224
641430202221012
74023052606040
oct641513151100
9170617470168
1056055616064
1121855a30028
12aa44ab4768
13539450c1b6
1429daa99720
1516d131665e
hexd0d2cd240

56055616064 has 56 divisors (see below), whose sum is σ = 127437367680. Its totient is φ = 23965019136.

The previous prime is 56055616051. The next prime is 56055616073. The reversal of 56055616064 is 46061655065.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30269 + ... + 336195.

It is an arithmetic number, because the mean of its divisors is an integer number (2275667280).

Almost surely, 256055616064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56055616064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63718683840).

56055616064 is an abundant number, since it is smaller than the sum of its proper divisors (71381751616).

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

56055616064 is a wasteful number, since it uses less digits than its factorization.

56055616064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306355 (or 306345 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 44.

The spelling of 56055616064 in words is "fifty-six billion, fifty-five million, six hundred sixteen thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 409 448 818 1636 2863 3272 5726 6544 11452 13088 22904 26176 45808 91616 183232 305927 611854 1223708 2141489 2447416 4282978 4894832 8565956 9789664 17131912 19579328 34263824 68527648 125124143 137055296 250248286 500496572 875869001 1000993144 1751738002 2001986288 3503476004 4003972576 7006952008 8007945152 14013904016 28027808032 56055616064