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316078731072 = 263213192116929
BaseRepresentation
bin1001001100101111100…
…00101010111101000000
31010012212001220012021100
410212113300222331000
520134312123343242
6401112104054400
731556503612326
oct4462760527500
91105761805240
10316078731072
111120592269a5
1251312164400
1323a62cbc770
1411426729d16
15834e05754c
hex4997c2af40

316078731072 has 252 divisors, whose sum is σ = 1029736327620. Its totient is φ = 92135522304.

The previous prime is 316078731049. The next prime is 316078731083. The reversal of 316078731072 is 270137870613.

316078731072 is a `hidden beast` number, since 3 + 1 + 607 + 8 + 7 + 31 + 0 + 7 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 126832850496 + 189245880576 = 356136^2 + 435024^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2644704 + ... + 2761632.

Almost surely, 2316078731072 is an apocalyptic number.

316078731072 is a gapful number since it is divisible by the number (32) 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 316078731072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514868163810).

316078731072 is an abundant number, since it is smaller than the sum of its proper divisors (713657596548).

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

316078731072 is a wasteful number, since it uses less digits than its factorization.

316078731072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116998 (or 116966 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The spelling of 316078731072 in words is "three hundred sixteen billion, seventy-eight million, seven hundred thirty-one thousand, seventy-two".