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12263790564 = 2232184572
BaseRepresentation
bin10110110101111101…
…01001011111100100
31011122200111002222100
423122332221133210
5200104012244224
65344531332100
7612623333304
oct133276513744
934580432870
1012263790564
115223654403
122463151030
1312059c520c
14844a87604
154bb9caac9
hex2dafa97e4

12263790564 has 27 divisors (see below), whose sum is σ = 31001816937. Its totient is φ = 4087708704.

The previous prime is 12263790547. The next prime is 12263790571. The reversal of 12263790564 is 46509736221.

The square root of 12263790564 is 110742.

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

12263790564 is a `hidden beast` number, since 1 + 2 + 2 + 637 + 9 + 0 + 5 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9061136100 + 3202654464 = 95190^2 + 56592^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 655224 + ... + 673680.

Almost surely, 212263790564 is an apocalyptic number.

12263790564 is the 110742-nd square number.

It is an amenable number.

12263790564 is an abundant number, since it is smaller than the sum of its proper divisors (18738026373).

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

12263790564 is an frugal number, since it uses more digits than its factorization.

12263790564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36924 (or 18462 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 12263790564 in words is "twelve billion, two hundred sixty-three million, seven hundred ninety thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 18457 36914 55371 73828 110742 166113 221484 332226 664452 340660849 681321698 1021982547 1362643396 2043965094 3065947641 4087930188 6131895282 12263790564