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56835931392 = 283347533301
BaseRepresentation
bin110100111011101011…
…110111110100000000
312102200222211110121000
4310323223313310000
51412344444301032
642035435132000
74051306305612
oct647353676400
9172628743530
1056835931392
1122116446529
12b0222a4000
13548a08c346
142a7257cdb2
151729aa0e7c
hexd3baf7d00

56835931392 has 288 divisors, whose sum is σ = 174941544960. Its totient is φ = 18186854400.

The previous prime is 56835931391. The next prime is 56835931393. The reversal of 56835931392 is 29313953865.

It is an interprime number because it is at equal distance from previous prime (56835931391) and next prime (56835931393).

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×568359313922 (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56835931391) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17216142 + ... + 17219442.

It is an arithmetic number, because the mean of its divisors is an integer number (607435920).

Almost surely, 256835931392 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 56835931392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87470772480).

56835931392 is an abundant number, since it is smaller than the sum of its proper divisors (118105613568).

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

56835931392 is a wasteful number, since it uses less digits than its factorization.

56835931392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3426 (or 3406 counting only the distinct ones).

The product of its digits is 5248800, while the sum is 54.

The spelling of 56835931392 in words is "fifty-six billion, eight hundred thirty-five million, nine hundred thirty-one thousand, three hundred ninety-two".