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257112046464 = 27371325359181
BaseRepresentation
bin1110111101110100010…
…0100111101110000000
3220120122120200020202120
43233131010213232000
513203031140441324
6314040551244240
724401322223050
oct3573504475600
9816576606676
10257112046464
119a04a057aa9
12419b6379680
131b326665800
14c6311b7560
156a4c3b7179
hex3bdd127b80

257112046464 has 768 divisors, whose sum is σ = 880557350400. Its totient is φ = 65041367040.

The previous prime is 257112046403. The next prime is 257112046549. The reversal of 257112046464 is 464640211752.

It is a super-2 number, since 2×2571120464642 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1420508454 + ... + 1420508634.

It is an arithmetic number, because the mean of its divisors is an integer number (1146559050).

Almost surely, 2257112046464 is an apocalyptic number.

257112046464 is a gapful number since it is divisible by the number (24) 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 257112046464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440278675200).

257112046464 is an abundant number, since it is smaller than the sum of its proper divisors (623445303936).

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

257112046464 is a wasteful number, since it uses less digits than its factorization.

257112046464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The spelling of 257112046464 in words is "two hundred fifty-seven billion, one hundred twelve million, forty-six thousand, four hundred sixty-four".