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12701262769 = 132138154421
BaseRepresentation
bin10111101010000110…
…11110001110110001
31012210011200000000121
423311003132032301
5202003010402034
65500200050241
7626514644416
oct136503361661
935704600017
1012701262769
115428593788
122565763981
131275526900
14886c0410d
154e50e21b4
hex2f50de3b1

12701262769 has 12 divisors (see below), whose sum is σ = 13763650332. Its totient is φ = 11715537600.

The previous prime is 12701262737. The next prime is 12701262787. The reversal of 12701262769 is 96726210721.

It can be written as a sum of positive squares in 6 ways, for example, as 446772769 + 12254490000 = 21137^2 + 110700^2 .

It is not a de Polignac number, because 12701262769 - 25 = 12701262737 is a prime.

It is a super-2 number, since 2×127012627692 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12701262799) 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 11 ways as a sum of consecutive naturals, for example, 206179 + ... + 260599.

It is an arithmetic number, because the mean of its divisors is an integer number (1146970861).

Almost surely, 212701262769 is an apocalyptic number.

It is an amenable number.

12701262769 is a deficient number, since it is larger than the sum of its proper divisors (1062387563).

12701262769 is a wasteful number, since it uses less digits than its factorization.

12701262769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55828 (or 55815 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 43.

The spelling of 12701262769 in words is "twelve billion, seven hundred one million, two hundred sixty-two thousand, seven hundred sixty-nine".

Divisors: 1 13 169 1381 17953 54421 233389 707473 9197149 75155401 977020213 12701262769