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311427913536 = 263610762383
BaseRepresentation
bin1001000100000101000…
…11001101011101000000
31002202211221120012000000
410202002203031131000
520100301021213121
6355022405000000
731333321405455
oct4420243153500
91082757505000
10311427913536
11110091a35943
12504346b3000
13234a15bbc1c
1411104ba182c
15817aac7526
hex48828cd740

311427913536 has 196 divisors, whose sum is σ = 935235225792. Its totient is φ = 102837475584.

The previous prime is 311427913487. The next prime is 311427913549. The reversal of 311427913536 is 635319724113.

311427913536 is a `hidden beast` number, since 3 + 1 + 1 + 4 + 27 + 91 + 3 + 536 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 311427913491 and 311427913500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 4961001 + ... + 5023383.

Almost surely, 2311427913536 is an apocalyptic number.

311427913536 is a gapful number since it is divisible by the number (36) 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 311427913536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467617612896).

311427913536 is an abundant number, since it is smaller than the sum of its proper divisors (623807312256).

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

311427913536 is an equidigital number, since it uses as much as digits as its factorization.

311427913536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62520 (or 62495 counting only the distinct ones).

The product of its digits is 408240, while the sum is 45.

The spelling of 311427913536 in words is "three hundred eleven billion, four hundred twenty-seven million, nine hundred thirteen thousand, five hundred thirty-six".