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5164147044 = 223272292592
BaseRepresentation
bin1001100111100111…
…01010000101100100
3111022220020211222100
410303303222011210
541034010201134
62212233332100
7241654345200
oct46363520544
914286224870
105164147044
112210032121
121001567030
13643b71b14
1436dbcdb00
1520357c999
hex133cea164

5164147044 has 243 divisors, whose sum is σ = 15997802457. Its totient is φ = 1400446656.

The previous prime is 5164147031. The next prime is 5164147057. The reversal of 5164147044 is 4407414615.

It is a happy number.

The square root of 5164147044 is 71862.

It is a perfect power (a square), and thus also a powerful number.

5164147044 is a `hidden beast` number, since 5 + 1 + 641 + 4 + 7 + 0 + 4 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (5164147031) and next prime (5164147057).

It can be written as a sum of positive squares in only one way, i.e., 2707953444 + 2456193600 = 52038^2 + 49560^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 87527887 + ... + 87527945.

Almost surely, 25164147044 is an apocalyptic number.

5164147044 is the 71862-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5164147044

5164147044 is an abundant number, since it is smaller than the sum of its proper divisors (10833655413).

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

5164147044 is a wasteful number, since it uses less digits than its factorization.

5164147044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The cubic root of 5164147044 is about 1728.4873279901.

Multiplying 5164147044 by its sum of digits (36), we get a square (185909293584 = 4311722).

5164147044 divided by its sum of digits (36) gives a square (143448529 = 119772).

The spelling of 5164147044 in words is "five billion, one hundred sixty-four million, one hundred forty-seven thousand, forty-four".