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10824737764 = 22520212
BaseRepresentation
bin10100001010011010…
…00110001111100100
31000221101122122122111
422011031012033210
5134132113102024
64550043410404
7532150516141
oct120515061744
930841578574
1010824737764
114655311775
122121223a04
131036822099
147498cb3c8
154354bea94
hex2853463e4

10824737764 has 9 divisors (see below), whose sum is σ = 18943655241. Its totient is φ = 5412264840.

The previous prime is 10824737753. The next prime is 10824737839. The reversal of 10824737764 is 46773742801.

It is a happy number.

The square root of 10824737764 is 104042.

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., 5235680164 + 5589057600 = 72358^2 + 74760^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 182074 + ... + 234094.

Almost surely, 210824737764 is an apocalyptic number.

10824737764 is the 104042-nd square number.

It is an amenable number.

10824737764 is a deficient number, since it is larger than the sum of its proper divisors (8118917477).

10824737764 is an frugal number, since it uses more digits than its factorization.

10824737764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104046 (or 52023 counting only the distinct ones).

The product of its (nonzero) digits is 1580544, while the sum is 49.

Multiplying 10824737764 by its sum of digits (49), we get a square (530412150436 = 7282942).

The spelling of 10824737764 in words is "ten billion, eight hundred twenty-four million, seven hundred thirty-seven thousand, seven hundred sixty-four".

Divisors: 1 2 4 52021 104042 208084 2706184441 5412368882 10824737764