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12630660113296 = 24312286612
BaseRepresentation
bin1011011111001100111000…
…0000100110001110010000
31122201110221102100021212101
42313303032000212032100
53123420042442111141
642510240053010144
72442351350353651
oct267631600461620
948643842307771
1012630660113296
11402a6a6398305
1214bbaa6623954
137080b23c7464
14319481c21528
1516d84480b531
hexb7cce026390

12630660113296 has 45 divisors (see below), whose sum is σ = 25287667569489. Its totient is φ = 6111396494400.

The previous prime is 12630660113243. The next prime is 12630660113299. The reversal of 12630660113296 is 69231106603621.

The square root of 12630660113296 is 3553964.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 12454998538896 + 175661574400 = 3529164^2 + 419120^2 .

It is not an unprimeable number, because it can be changed into a prime (12630660113299) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 440677206 + ... + 440705866.

Almost surely, 212630660113296 is an apocalyptic number.

12630660113296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

12630660113296 is the 3553964-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12630660113296

12630660113296 is an abundant number, since it is smaller than the sum of its proper divisors (12657007456193).

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

12630660113296 is an frugal number, since it uses more digits than its factorization.

12630660113296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57392 (or 28694 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 46.

The spelling of 12630660113296 in words is "twelve trillion, six hundred thirty billion, six hundred sixty million, one hundred thirteen thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 31 62 124 248 496 961 1922 3844 7688 15376 28661 57322 114644 229288 458576 888491 1776982 3553964 7107928 14215856 27543221 55086442 110172884 220345768 440691536 821452921 1642905842 3285811684 6571623368 13143246736 25465040551 50930081102 101860162204 203720324408 407440648816 789416257081 1578832514162 3157665028324 6315330056648 12630660113296