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5293726564 = 227251972
BaseRepresentation
bin1001110111000011…
…11101101101100100
3111122221002011122211
410323201331231210
541320143222224
62233142533204
7245116635100
oct47341755544
914587064584
105293726564
112277197135
121038a37204
136649710a9
143830c0900
1520eb26894
hex13b87db64

5293726564 has 27 divisors (see below), whose sum is σ = 10778588793. Its totient is φ = 2268303408.

The previous prime is 5293726531. The next prime is 5293726609. The reversal of 5293726564 is 4656273925.

The square root of 5293726564 is 72758.

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

It can be written as a sum of positive squares in only one way, i.e., 2421624100 + 2872102464 = 49210^2 + 53592^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1016014 + ... + 1021210.

Almost surely, 25293726564 is an apocalyptic number.

5293726564 is the 72758-th square number.

It is an amenable number.

5293726564 is an abundant number, since it is smaller than the sum of its proper divisors (5484862229).

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

5293726564 is an frugal number, since it uses more digits than its factorization.

5293726564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10412 (or 5206 counting only the distinct ones).

The product of its digits is 2721600, while the sum is 49.

The cubic root of 5293726564 is about 1742.8252164753.

Multiplying 5293726564 by its sum of digits (49), we get a square (259392601636 = 5093062).

5293726564 divided by its sum of digits (49) gives a square (108035236 = 103942).

The spelling of 5293726564 in words is "five billion, two hundred ninety-three million, seven hundred twenty-six thousand, five hundred sixty-four".

Divisors: 1 2 4 7 14 28 49 98 196 5197 10394 20788 36379 72758 145516 254653 509306 1018612 27008809 54017618 108035236 189061663 378123326 756246652 1323431641 2646863282 5293726564