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12674920482 = 23271941263491
BaseRepresentation
bin10111100110111101…
…11111000000100010
31012201100002200012100
423303132333000202
5201424234423412
65453415311230
7626045021640
oct136336770042
935640080170
1012674920482
1154147313a4
12255897b516
13126cc32763
14883508190
154e2b3bedc
hex2f37bf022

12674920482 has 192 divisors, whose sum is σ = 34041047040. Its totient is φ = 3327609600.

The previous prime is 12674920457. The next prime is 12674920483. The reversal of 12674920482 is 28402947621.

12674920482 is a `hidden beast` number, since 12 + 6 + 74 + 92 + 0 + 482 = 666.

It is a super-2 number, since 2×126749204822 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12674920483) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 25814257 + ... + 25814747.

It is an arithmetic number, because the mean of its divisors is an integer number (177297120).

Almost surely, 212674920482 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12674920482, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17020523520).

12674920482 is an abundant number, since it is smaller than the sum of its proper divisors (21366126558).

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

12674920482 is a wasteful number, since it uses less digits than its factorization.

12674920482 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 829 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

It can be divided in two parts, 12674 and 920482, that added together give a square (933156 = 9662).

The spelling of 12674920482 in words is "twelve billion, six hundred seventy-four million, nine hundred twenty thousand, four hundred eighty-two".