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12742676253 = 321415852917
BaseRepresentation
bin10111101111000010…
…11100111100011101
31012220001121000122100
423313201130330131
5202044111120003
65504235435313
7630526650426
oct136741347435
935801530570
1012742676253
1154499aa2aa
1225775b5b39
131280c96928
1488c50464d
154e8a72ba3
hex2f785cf1d

12742676253 has 6 divisors (see below), whose sum is σ = 18406087934. Its totient is φ = 8495117496.

The previous prime is 12742676239. The next prime is 12742676267. The reversal of 12742676253 is 35267624721.

12742676253 is a `hidden beast` number, since 12 + 7 + 4 + 2 + 6 + 7 + 625 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (12742676239) and next prime (12742676267).

It can be written as a sum of positive squares in only one way, i.e., 7008703524 + 5733972729 = 83718^2 + 75723^2 .

It is not a de Polignac number, because 12742676253 - 29 = 12742675741 is a prime.

It is a super-3 number, since 3×127426762533 (a number of 31 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12742676199 and 12742676208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12742676273) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 707926450 + ... + 707926467.

Almost surely, 212742676253 is an apocalyptic number.

It is an amenable number.

12742676253 is a deficient number, since it is larger than the sum of its proper divisors (5663411681).

12742676253 is a wasteful number, since it uses less digits than its factorization.

12742676253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1415852923 (or 1415852920 counting only the distinct ones).

The product of its digits is 846720, while the sum is 45.

The spelling of 12742676253 in words is "twelve billion, seven hundred forty-two million, six hundred seventy-six thousand, two hundred fifty-three".

Divisors: 1 3 9 1415852917 4247558751 12742676253