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8315445138 = 23721113832383
BaseRepresentation
bin1111011111010001…
…11001111110010010
3210110111222101021120
413233220321332102
5114012223221023
63453044503110
7413031055200
oct75750717622
923414871246
108315445138
113587941010
1217409aaa96
13a269bb050
1458c53c070
1533a05a8e3
hex1efa39f92

8315445138 has 192 divisors, whose sum is σ = 23011817472. Its totient is φ = 1968865920.

The previous prime is 8315445113. The next prime is 8315445143.

It is a happy number.

8315445138 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 8315445138.

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, 3488295 + ... + 3490677.

It is an arithmetic number, because the mean of its divisors is an integer number (119853216).

Almost surely, 28315445138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8315445138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11505908736).

8315445138 is an abundant number, since it is smaller than the sum of its proper divisors (14696372334).

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

8315445138 is a wasteful number, since it uses less digits than its factorization.

8315445138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2509 (or 2502 counting only the distinct ones).

The product of its digits is 230400, while the sum is 42.

The square root of 8315445138 is about 91189.0626007308. The cubic root of 8315445138 is about 2025.9489643981.

The spelling of 8315445138 in words is "eight billion, three hundred fifteen million, four hundred forty-five thousand, one hundred thirty-eight".