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5037518304 = 25377213113
BaseRepresentation
bin1001011000100001…
…00110110111100000
3111000001222110000000
410230100212313200
540304101041204
62151511300000
7235556125200
oct45420466740
914001873000
105037518304
112155603075
12b8707a600
13623866980
1435b06a400
151e73b8039
hex12c426de0

5037518304 has 576 divisors, whose sum is σ = 18798454080. Its totient is φ = 1316818944.

The previous prime is 5037518249. The next prime is 5037518309. The reversal of 5037518304 is 4038157305.

5037518304 is a `hidden beast` number, since 503 + 75 + 1 + 83 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5037518309) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44579752 + ... + 44579864.

It is an arithmetic number, because the mean of its divisors is an integer number (32636205).

Almost surely, 25037518304 is an apocalyptic number.

5037518304 is a gapful number since it is divisible by the number (54) 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 5037518304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9399227040).

5037518304 is an abundant number, since it is smaller than the sum of its proper divisors (13760935776).

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

5037518304 is a wasteful number, since it uses less digits than its factorization.

5037518304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 5037518304 is about 70975.4767789551. The cubic root of 5037518304 is about 1714.2423197587.

The spelling of 5037518304 in words is "five billion, thirty-seven million, five hundred eighteen thousand, three hundred four".