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12282845584 = 2410322692
BaseRepresentation
bin10110111000001110…
…10101100110010000
31011201000100012112211
423130013111212100
5200123402024314
65350452001504
7613244315302
oct133407254620
934630305484
1012282845584
115233389759
122469600294
131209937489
14847407972
154bd4e19c4
hex2dc1d5990

12282845584 has 45 divisors (see below), whose sum is σ = 24120972993. Its totient is φ = 6059188416.

The previous prime is 12282845573. The next prime is 12282845611. The reversal of 12282845584 is 48554828221.

The square root of 12282845584 is 110828.

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., 808151184 + 11474694400 = 28428^2 + 107120^2 .

It is a Duffinian number.

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, 45661002 + ... + 45661270.

Almost surely, 212282845584 is an apocalyptic number.

12282845584 is the 110828-th square number.

It is an amenable number.

12282845584 is a deficient number, since it is larger than the sum of its proper divisors (11838127409).

12282845584 is an frugal number, since it uses more digits than its factorization.

12282845584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 752 (or 374 counting only the distinct ones).

The product of its digits is 1638400, while the sum is 49.

Multiplying 12282845584 by its sum of digits (49), we get a square (601859433616 = 7757962).

The spelling of 12282845584 in words is "twelve billion, two hundred eighty-two million, eight hundred forty-five thousand, five hundred eighty-four".

Divisors: 1 2 4 8 16 103 206 269 412 538 824 1076 1648 2152 4304 10609 21218 27707 42436 55414 72361 84872 110828 144722 169744 221656 289444 443312 578888 1157776 2853821 5707642 7453183 11415284 14906366 22830568 29812732 45661136 59625464 119250928 767677849 1535355698 3070711396 6141422792 12282845584