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56857222296 = 233471719151257
BaseRepresentation
bin110100111100111101…
…000101110010011000
312102202110220011020000
4310330331011302120
51412420422103141
642041515333000
74051655262330
oct647475056230
9172673804200
1056857222296
1122127468716
12b029451160
135491605204
142a753220c0
15172b8a95b6
hexd3cf45c98

56857222296 has 640 divisors, whose sum is σ = 204989875200. Its totient is φ = 14332723200.

The previous prime is 56857222249. The next prime is 56857222309. The reversal of 56857222296 is 69222275865.

56857222296 is a `hidden beast` number, since 5 + 68 + 572 + 2 + 2 + 2 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 221234200 + ... + 221234456.

It is an arithmetic number, because the mean of its divisors is an integer number (320296680).

Almost surely, 256857222296 is an apocalyptic number.

56857222296 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56857222296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102494937600).

56857222296 is an abundant number, since it is smaller than the sum of its proper divisors (148132652904).

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

56857222296 is a wasteful number, since it uses less digits than its factorization.

56857222296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 456 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 54.

The spelling of 56857222296 in words is "fifty-six billion, eight hundred fifty-seven million, two hundred twenty-two thousand, two hundred ninety-six".