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56108014380360 = 23355192631155179
BaseRepresentation
bin11001100000111101010100…
…10001000010010101001000
321100122212120222210212100000
430300132222101002111020
524323233203140132420
6315155355503243000
714550445621133235
oct1460365221022510
9240585528725300
1056108014380360
1116972303426188
1263621385a9460
13253cc69a9bbb7
14dbd8dc9c678c
1567477171d690
hex3307aa442548

56108014380360 has 384 divisors, whose sum is σ = 199814719104000. Its totient is φ = 14120748009216.

The previous prime is 56108014380337. The next prime is 56108014380389. The reversal of 56108014380360 is 6308341080165.

56108014380360 is a `hidden beast` number, since 56 + 108 + 0 + 1 + 438 + 0 + 3 + 60 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 47993251 + ... + 49148429.

It is an arithmetic number, because the mean of its divisors is an integer number (520350831000).

Almost surely, 256108014380360 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 56108014380360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99907359552000).

56108014380360 is an abundant number, since it is smaller than the sum of its proper divisors (143706704723640).

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

56108014380360 is a wasteful number, since it uses less digits than its factorization.

56108014380360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1155487 (or 1155471 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 56108014380360 in words is "fifty-six trillion, one hundred eight billion, fourteen million, three hundred eighty thousand, three hundred sixty".