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12582055712 = 257922512
BaseRepresentation
bin10111011011111001…
…01110111100100000
31012110212100122200102
423231330232330200
5201232001240322
65440301041532
7623536465112
oct135574567440
935425318612
1012582055712
115377273756
1225318562a8
1312569198a5
148750533b2
154d98e6792
hex2edf2ef20

12582055712 has 54 divisors (see below), whose sum is σ = 25188799419. Its totient is φ = 6186648000.

The previous prime is 12582055649. The next prime is 12582055727. The reversal of 12582055712 is 21755028521.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 6291027856 + 6291027856 = 79316^2 + 79316^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=79316.

It is a super-3 number, since 3×125820557123 (a number of 31 digits) contains 333 as substring.

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, 50127587 + ... + 50127837.

Almost surely, 212582055712 is an apocalyptic number.

It is an amenable number.

12582055712 is an abundant number, since it is smaller than the sum of its proper divisors (12606743707).

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

12582055712 is an frugal number, since it uses more digits than its factorization.

12582055712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 38.

The spelling of 12582055712 in words is "twelve billion, five hundred eighty-two million, fifty-five thousand, seven hundred twelve".

Divisors: 1 2 4 8 16 32 79 158 251 316 502 632 1004 1264 2008 2528 4016 6241 8032 12482 19829 24964 39658 49928 63001 79316 99856 126002 158632 199712 252004 317264 504008 634528 1008016 1566491 2016032 3132982 4977079 6265964 9954158 12531928 19908316 25063856 39816632 50127712 79633264 159266528 393189241 786378482 1572756964 3145513928 6291027856 12582055712