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56351346064 = 2413972792989
BaseRepresentation
bin110100011110110011…
…010100110110010000
312101110012222222111021
4310132303110312100
51410401421033224
641515404525224
74033303352446
oct643663246620
9171405888437
1056351346064
1121997958392
12ab07b50814
135410873570
142a2807ab96
1516ec2801e4
hexd1ecd4d90

56351346064 has 40 divisors (see below), whose sum is σ = 118791450680. Its totient is φ = 25740177408.

The previous prime is 56351346059. The next prime is 56351346091. The reversal of 56351346064 is 46064315365.

56351346064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2244864400 + 54106481664 = 47380^2 + 232608^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 56351346064.

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, 1376319 + ... + 1416670.

It is an arithmetic number, because the mean of its divisors is an integer number (2969786267).

Almost surely, 256351346064 is an apocalyptic number.

It is an amenable number.

56351346064 is an abundant number, since it is smaller than the sum of its proper divisors (62440104616).

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

56351346064 is a wasteful number, since it uses less digits than its factorization.

56351346064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2793107 (or 2793101 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 43.

The spelling of 56351346064 in words is "fifty-six billion, three hundred fifty-one million, three hundred forty-six thousand, sixty-four".

Divisors: 1 2 4 8 13 16 26 52 97 104 194 208 388 776 1261 1552 2522 5044 10088 20176 2792989 5585978 11171956 22343912 36308857 44687824 72617714 145235428 270919933 290470856 541839866 580941712 1083679732 2167359464 3521959129 4334718928 7043918258 14087836516 28175673032 56351346064