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12606279488 = 261121627877
BaseRepresentation
bin10111011110110010…
…01000111101000000
31012112112221100110022
423233121020331000
5201304201420423
65442524153012
7624252415265
oct135731107500
935475840408
1012606279488
115389a09400
122539998768
13125b94b69a
1487835b26c
154dbacddc8
hex2ef648f40

12606279488 has 42 divisors (see below), whose sum is σ = 27496487298. Its totient is φ = 5730123520.

The previous prime is 12606279479. The next prime is 12606279503. The reversal of 12606279488 is 88497260621.

12606279488 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 8602933504 + 4003345984 = 92752^2 + 63272^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 806195 + ... + 821682.

It is an arithmetic number, because the mean of its divisors is an integer number (654678269).

Almost surely, 212606279488 is an apocalyptic number.

It is an amenable number.

12606279488 is an abundant number, since it is smaller than the sum of its proper divisors (14890207810).

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

12606279488 is a wasteful number, since it uses less digits than its factorization.

12606279488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1627911 (or 1627890 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 53.

The spelling of 12606279488 in words is "twelve billion, six hundred six million, two hundred seventy-nine thousand, four hundred eighty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 176 242 352 484 704 968 1936 3872 7744 1627877 3255754 6511508 13023016 17906647 26046032 35813294 52092064 71626588 104184128 143253176 196973117 286506352 393946234 573012704 787892468 1146025408 1575784936 3151569872 6303139744 12606279488