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5117362848 = 25321317374153
BaseRepresentation
bin1001100010000010…
…01100001010100000
3111012122012222010100
410301001030022200
540440021102343
62203442502400
7240545603133
oct46101141240
914178188110
105117362848
1121966884a4
12ba9964a00
13637271370
143678d221a
151ee3da9d3
hex13104c2a0

5117362848 has 576 divisors, whose sum is σ = 17787343392. Its totient is φ = 1380188160.

The previous prime is 5117362799. The next prime is 5117362879. The reversal of 5117362848 is 8482637115.

5117362848 is a `hidden beast` number, since 5 + 1 + 17 + 3 + 628 + 4 + 8 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 794563344 + 4322799504 = 28188^2 + 65748^2 .

It is a super-2 number, since 2×51173628482 = 52374805036181342208, which contains 22 as substring.

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, 96553990 + ... + 96554042.

Almost surely, 25117362848 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5117362848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8893671696).

5117362848 is an abundant number, since it is smaller than the sum of its proper divisors (12669980544).

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

5117362848 is a wasteful number, since it uses less digits than its factorization.

5117362848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 166 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 5117362848 is about 71535.7452466947. The cubic root of 5117362848 is about 1723.2517860100.

The spelling of 5117362848 in words is "five billion, one hundred seventeen million, three hundred sixty-two thousand, eight hundred forty-eight".