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12156606049 = 721928292
BaseRepresentation
bin10110101001001011…
…10001011001100001
31011101012210120110111
423110211301121201
5144344042343144
65330142131321
7610152306100
oct132445613141
934335716414
1012156606049
1151790a6065
122433280b41
1311b9737523
14834746037
154b23a7534
hex2d4971661

12156606049 has 27 divisors (see below), whose sum is σ = 14942837907. Its totient is φ = 9859621968.

The previous prime is 12156606043. The next prime is 12156606053. The reversal of 12156606049 is 94060665121.

It is a happy number.

The square root of 12156606049 is 110257.

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., 6998493649 + 5158112400 = 83657^2 + 71820^2 .

It is not a de Polignac number, because 12156606049 - 25 = 12156606017 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12156606043) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 14663767 + ... + 14664595.

It is an arithmetic number, because the mean of its divisors is an integer number (553438441).

Almost surely, 212156606049 is an apocalyptic number.

12156606049 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

12156606049 is the 110257-th square number.

12156606049 is the 55129-th centered octagonal number.

It is an amenable number.

12156606049 is a deficient number, since it is larger than the sum of its proper divisors (2786231858).

12156606049 is an frugal number, since it uses more digits than its factorization.

12156606049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1710 (or 855 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 40.

The spelling of 12156606049 in words is "twelve billion, one hundred fifty-six million, six hundred six thousand, forty-nine".

Divisors: 1 7 19 49 133 361 829 931 2527 5803 15751 17689 40621 110257 299269 687241 771799 2094883 4810687 13057579 14664181 33674809 91403053 248094001 639821371 1736658007 12156606049