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5107055616 = 210331321093
BaseRepresentation
bin1001100000110011…
…10111110000000000
3111011220211022021000
410300121313300000
540424401234431
62202433532000
7240362153655
oct46031676000
914156738230
105107055616
112190888523
12ba6414000
136350a2a00
143663abc2c
151ed5519e6
hex130677c00

5107055616 has 264 divisors, whose sum is σ = 16392539760. Its totient is φ = 1569964032.

The previous prime is 5107055587. The next prime is 5107055633. The reversal of 5107055616 is 6165507015.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4671966 + ... + 4673058.

Almost surely, 25107055616 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 5107055616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8196269880).

5107055616 is an abundant number, since it is smaller than the sum of its proper divisors (11285484144).

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

5107055616 is a wasteful number, since it uses less digits than its factorization.

5107055616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1148 (or 1111 counting only the distinct ones).

The product of its (nonzero) digits is 31500, while the sum is 36.

The square root of 5107055616 is about 71463.6664046843. Note that the first 3 decimals coincide. The cubic root of 5107055616 is about 1722.0940350984.

The spelling of 5107055616 in words is "five billion, one hundred seven million, fifty-five thousand, six hundred sixteen".