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12692872624 = 24314859
BaseRepresentation
bin10111101001000110…
…11101110110110000
31012202120212201220111
423310203131312300
5201443333410444
65455300151104
7626353431355
oct136443356660
935676781814
1012692872624
115423883083
122562998494
131273879a23
14885a5c62c
154e44d6234
hex2f48dddb0

12692872624 has 50 divisors (see below), whose sum is σ = 25441771300. Its totient is φ = 6134562720.

The previous prime is 12692872579. The next prime is 12692872663. The reversal of 12692872624 is 42627829621.

It is a super-2 number, since 2×126928726242 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 14775907 + ... + 14776765.

It is an arithmetic number, because the mean of its divisors is an integer number (508835426).

Almost surely, 212692872624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12692872624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12720885650).

12692872624 is an abundant number, since it is smaller than the sum of its proper divisors (12748898676).

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

12692872624 is an frugal number, since it uses more digits than its factorization.

12692872624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 991 (or 892 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 49.

The spelling of 12692872624 in words is "twelve billion, six hundred ninety-two million, eight hundred seventy-two thousand, six hundred twenty-four".

Divisors: 1 2 4 8 16 31 62 124 248 496 859 961 1718 1922 3436 3844 6872 7688 13744 15376 26629 29791 53258 59582 106516 119164 213032 238328 426064 476656 825499 923521 1650998 1847042 3301996 3694084 6603992 7388168 13207984 14776336 25590469 51180938 102361876 204723752 409447504 793304539 1586609078 3173218156 6346436312 12692872624