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56006205560 = 23517613134359
BaseRepresentation
bin110100001010001110…
…101110000001111000
312100120011120000201122
4310022032232001320
51404200042034220
641421235204412
74021612615064
oct641216560170
9170504500648
1056006205560
11218300521a8
12aa30446708
1353871cc206
1429d42b6aa4
1516cbd06425
hexd0a3ae078

56006205560 has 64 divisors (see below), whose sum is σ = 133645204800. Its totient is φ = 21050136576.

The previous prime is 56006205557. The next prime is 56006205599. The reversal of 56006205560 is 6550260065.

It is a super-2 number, since 2×560062055602 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 56006205560.

It is a congruent number.

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, 349661 + ... + 484019.

It is an arithmetic number, because the mean of its divisors is an integer number (2088206325).

Almost surely, 256006205560 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 56006205560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66822602400).

56006205560 is an abundant number, since it is smaller than the sum of its proper divisors (77638999240).

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

56006205560 is a wasteful number, since it uses less digits than its factorization.

56006205560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135000 (or 134996 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 35.

The spelling of 56006205560 in words is "fifty-six billion, six million, two hundred five thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 613 680 1226 2452 3065 4904 6130 10421 12260 20842 24520 41684 52105 83368 104210 134359 208420 268718 416840 537436 671795 1074872 1343590 2284103 2687180 4568206 5374360 9136412 11420515 18272824 22841030 45682060 82362067 91364120 164724134 329448268 411810335 658896536 823620670 1400155139 1647241340 2800310278 3294482680 5600620556 7000775695 11201241112 14001551390 28003102780 56006205560