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12588009680 = 245157350121
BaseRepresentation
bin10111011100100110…
…11100100011010000
31012111021120010222202
423232103130203100
5201240012302210
65441032422332
7623641213451
oct135623344320
935437503882
1012588009680
11537a66aa94
1225338479a8
131257c2294c
14875b63128
154da1c09a5
hex2ee4dc8d0

12588009680 has 20 divisors (see below), whose sum is σ = 29267122692. Its totient is φ = 5035203840.

The previous prime is 12588009667. The next prime is 12588009739. The reversal of 12588009680 is 8690088521.

12588009680 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 2 ways, for example, as 8822469184 + 3765540496 = 93928^2 + 61364^2 .

It is a tau number, because it is divible by the number of its divisors (20).

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 3 ways as a sum of consecutive naturals, for example, 78674981 + ... + 78675140.

Almost surely, 212588009680 is an apocalyptic number.

12588009680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12588009680 is an abundant number, since it is smaller than the sum of its proper divisors (16679113012).

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

12588009680 is a wasteful number, since it uses less digits than its factorization.

12588009680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157350134 (or 157350128 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 47.

The spelling of 12588009680 in words is "twelve billion, five hundred eighty-eight million, nine thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 157350121 314700242 629400484 786750605 1258800968 1573501210 2517601936 3147002420 6294004840 12588009680