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56065259250 = 232537112133173
BaseRepresentation
bin110100001101101111…
…111111011011110010
312100201021200021011100
4310031233333123302
51404310201244000
641431145025230
74023230561220
oct641557773362
9170637607140
1056065259250
1121860417100
12aa48185216
135396507520
1429dc089b10
1516d20bda00
hexd0dbff6f2

56065259250 has 1152 divisors, whose sum is σ = 214605361152. Its totient is φ = 10264320000.

The previous prime is 56065259209. The next prime is 56065259273. The reversal of 56065259250 is 5295256065.

56065259250 is a `hidden beast` number, since 5 + 6 + 0 + 6 + 5 + 2 + 592 + 50 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 56065259196 and 56065259205.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 768017214 + ... + 768017286.

It is an arithmetic number, because the mean of its divisors is an integer number (186289376).

Almost surely, 256065259250 is an apocalyptic number.

56065259250 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 56065259250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107302680576).

56065259250 is an abundant number, since it is smaller than the sum of its proper divisors (158540101902).

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

56065259250 is a wasteful number, since it uses less digits than its factorization.

56065259250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 810000, while the sum is 45.

The spelling of 56065259250 in words is "fifty-six billion, sixty-five million, two hundred fifty-nine thousand, two hundred fifty".