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56462270472 = 23321577196947
BaseRepresentation
bin110100100101011010…
…011110000000001000
312101201221201112011200
4310211122132000020
51411113320123342
641534410224200
74036121244306
oct644532360010
9171657645150
1056462270472
1121a44530553
12ab39125060
13542a8405ca
142a38ab3276
151706d9194c
hexd2569e008

56462270472 has 96 divisors (see below), whose sum is σ = 154128873600. Its totient is φ = 18672181632.

The previous prime is 56462270461. The next prime is 56462270587. The reversal of 56462270472 is 27407226465.

It is a happy number.

56462270472 is a `hidden beast` number, since 56 + 4 + 62 + 2 + 70 + 472 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8124103 + ... + 8131049.

It is an arithmetic number, because the mean of its divisors is an integer number (1605509100).

Almost surely, 256462270472 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 56462270472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77064436800).

56462270472 is an abundant number, since it is smaller than the sum of its proper divisors (97666603128).

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

56462270472 is a wasteful number, since it uses less digits than its factorization.

56462270472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7835 (or 7828 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 45.

The spelling of 56462270472 in words is "fifty-six billion, four hundred sixty-two million, two hundred seventy thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 157 314 471 628 719 942 1256 1413 1438 1884 2157 2826 2876 3768 4314 5652 5752 6471 6947 8628 11304 12942 13894 17256 20841 25884 27788 41682 51768 55576 62523 83364 112883 125046 166728 225766 250092 338649 451532 500184 677298 903064 1015947 1090679 1354596 2031894 2181358 2709192 3272037 4063788 4362716 4994893 6544074 8127576 8725432 9816111 9989786 13088148 14984679 19632222 19979572 26176296 29969358 39264444 39959144 44954037 59938716 78528888 89908074 119877432 179816148 359632296 784198201 1568396402 2352594603 3136792804 4705189206 6273585608 7057783809 9410378412 14115567618 18820756824 28231135236 56462270472