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56197035360 = 25365974967
BaseRepresentation
bin110100010101100110…
…101011010101100000
312101001110122012000000
4310111212223111200
51410042420112420
641452213300000
74026420630144
oct642546532540
9171043565000
1056197035360
1121918841484
12aa84334600
1353b78c555b
142a1178d224
1516dd94d690
hexd159ab560

56197035360 has 336 divisors, whose sum is σ = 201149809056. Its totient is φ = 14828396544.

The previous prime is 56197035317. The next prime is 56197035397. The reversal of 56197035360 is 6353079165.

56197035360 is a `hidden beast` number, since 56 + 197 + 0 + 353 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 11311597 + ... + 11316563.

It is an arithmetic number, because the mean of its divisors is an integer number (598660146).

Almost surely, 256197035360 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 56197035360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100574904528).

56197035360 is an abundant number, since it is smaller than the sum of its proper divisors (144952773696).

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

56197035360 is an equidigital number, since it uses as much as digits as its factorization.

56197035360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5097 (or 5074 counting only the distinct ones).

The product of its (nonzero) digits is 510300, while the sum is 45.

The spelling of 56197035360 in words is "fifty-six billion, one hundred ninety-seven million, thirty-five thousand, three hundred sixty".