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2313658368 = 2133274483
BaseRepresentation
bin1000100111100111…
…1010000000000000
312222020120000121200
42021321322000000
514214244031433
61021325421200
7111222525450
oct21171720000
95866500550
102313658368
11a87aaa85a
12546a0a800
132ab447c28
1417d3c5d60
15d81bd613
hex89e7a000

2313658368 has 168 divisors, whose sum is σ = 7639982688. Its totient is φ = 660897792.

The previous prime is 2313658357. The next prime is 2313658393. The reversal of 2313658368 is 8638563132.

2313658368 is a `hidden beast` number, since 2 + 3 + 1 + 3 + 6 + 583 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 513855 + ... + 518337.

Almost surely, 22313658368 is an apocalyptic number.

2313658368 is a gapful number since it is divisible by the number (28) 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 2313658368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3819991344).

2313658368 is an abundant number, since it is smaller than the sum of its proper divisors (5326324320).

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

2313658368 is an equidigital number, since it uses as much as digits as its factorization.

2313658368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4522 (or 4495 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 2313658368 is about 48100.5027832350. The cubic root of 2313658368 is about 1322.6138838920.

The spelling of 2313658368 in words is "two billion, three hundred thirteen million, six hundred fifty-eight thousand, three hundred sixty-eight".