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56985401312 = 25719233189211
BaseRepresentation
bin110101000100100110…
…000011011111100000
312110002102002022202222
4311010212003133200
51413201230320222
642102334530212
74055102630150
oct650446033740
9173072068688
1056985401312
1122192856494
12b064366968
1354b2033b98
142a8836a760
151737c78542
hexd449837e0

56985401312 has 384 divisors, whose sum is σ = 147706675200. Its totient is φ = 21076070400.

The previous prime is 56985401279. The next prime is 56985401321. The reversal of 56985401312 is 21310458965.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 270072887 + ... + 270073097.

It is an arithmetic number, because the mean of its divisors is an integer number (384652800).

Almost surely, 256985401312 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 56985401312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73853337600).

56985401312 is an abundant number, since it is smaller than the sum of its proper divisors (90721273888).

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

56985401312 is a wasteful number, since it uses less digits than its factorization.

56985401312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 44.

The spelling of 56985401312 in words is "fifty-six billion, nine hundred eighty-five million, four hundred one thousand, three hundred twelve".