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57906818112 = 263111323107857
BaseRepresentation
bin110101111011100000…
…111110110001000000
312112110121220011000010
4311323200332301000
51422043121134422
642334012024520
74116661555413
oct657340766100
9175417804003
1057906818112
1122615986580
12b280a62140
1355cabb8820
142b3489db7a
15178dad5b0c
hexd7b83ec40

57906818112 has 448 divisors, whose sum is σ = 189799593984. Its totient is φ = 15330754560.

The previous prime is 57906818033. The next prime is 57906818113. The reversal of 57906818112 is 21181860975.

It is a happy number.

57906818112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (57906818113) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 67568788 + ... + 67569644.

It is an arithmetic number, because the mean of its divisors is an integer number (423659808).

Almost surely, 257906818112 is an apocalyptic number.

57906818112 is a gapful number since it is divisible by the number (52) 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 57906818112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94899796992).

57906818112 is an abundant number, since it is smaller than the sum of its proper divisors (131892775872).

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

57906818112 is a wasteful number, since it uses less digits than its factorization.

57906818112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1026 (or 1016 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 48.

The spelling of 57906818112 in words is "fifty-seven billion, nine hundred six million, eight hundred eighteen thousand, one hundred twelve".