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13612355584 = 21218232
BaseRepresentation
bin11001010110101110…
…00001000000000000
31022010200001022101221
430223113001000000
5210334230334314
610130424004424
7661220053612
oct145327010000
938120038357
1013612355584
115855902253
12277a900714
13138c205399
14931c0adb2
1554a0b0824
hex32b5c1000

13612355584 has 39 divisors (see below), whose sum is σ = 27236328223. Its totient is φ = 6802444288.

The previous prime is 13612355567. The next prime is 13612355599. The reversal of 13612355584 is 48555321631.

The square root of 13612355584 is 116672.

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

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13612355584.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 7466097 + ... + 7467919.

Almost surely, 213612355584 is an apocalyptic number.

13612355584 is the 116672-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13612355584

13612355584 is an abundant number, since it is smaller than the sum of its proper divisors (13623972639).

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

13612355584 is an frugal number, since it uses more digits than its factorization.

13612355584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3670 (or 1825 counting only the distinct ones).

The product of its digits is 432000, while the sum is 43.

The spelling of 13612355584 in words is "thirteen billion, six hundred twelve million, three hundred fifty-five thousand, five hundred eighty-four".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 1823 2048 3646 4096 7292 14584 29168 58336 116672 233344 466688 933376 1866752 3323329 3733504 6646658 7467008 13293316 26586632 53173264 106346528 212693056 425386112 850772224 1701544448 3403088896 6806177792 13612355584