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316027213920 = 253251171793557
BaseRepresentation
bin1001001100101001011…
…00001001100001100000
31010012201110221212000200
410212110230021201200
520134210431321140
6401103023545200
731555306665465
oct4462454114140
91105643855020
10316027213920
1111203213a340
12512b8a5b200
1323a55422942
141141d95966c
15834977d030
hex4994b09860

316027213920 has 576 divisors, whose sum is σ = 1208494909440. Its totient is φ = 74556518400.

The previous prime is 316027213919. The next prime is 316027213949. The reversal of 316027213920 is 29312720613.

316027213920 is a `hidden beast` number, since 3 + 1 + 602 + 7 + 21 + 3 + 9 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 88844782 + ... + 88848338.

It is an arithmetic number, because the mean of its divisors is an integer number (2098081440).

Almost surely, 2316027213920 is an apocalyptic number.

316027213920 is a gapful number since it is divisible by the number (30) 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 316027213920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604247454720).

316027213920 is an abundant number, since it is smaller than the sum of its proper divisors (892467695520).

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

316027213920 is a wasteful number, since it uses less digits than its factorization.

316027213920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3739 (or 3728 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 316027213920 in words is "three hundred sixteen billion, twenty-seven million, two hundred thirteen thousand, nine hundred twenty".