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56850222240 = 25325717192919
BaseRepresentation
bin110100111100100010…
…011000110010100000
312102201222201111221200
4310330202120302200
51412412124102430
642041105321200
74051541626110
oct647442306240
9172658644850
1056850222240
1122123517449
12b027036200
135490023c76
142a7441d040
15172ae75460
hexd3c898ca0

56850222240 has 864 divisors, whose sum is σ = 248033560320. Its totient is φ = 11573673984.

The previous prime is 56850222227. The next prime is 56850222269. The reversal of 56850222240 is 4222205865.

56850222240 is a `hidden beast` number, since 568 + 50 + 2 + 2 + 2 + 2 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 56850222195 and 56850222204.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 61860501 + ... + 61861419.

It is an arithmetic number, because the mean of its divisors is an integer number (287075880).

Almost surely, 256850222240 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 56850222240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124016780160).

56850222240 is an abundant number, since it is smaller than the sum of its proper divisors (191183338080).

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

56850222240 is a wasteful number, since it uses less digits than its factorization.

56850222240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1002 (or 972 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 56850222240 in words is "fifty-six billion, eight hundred fifty million, two hundred twenty-two thousand, two hundred forty".