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12702894516 = 22321327142937
BaseRepresentation
bin10111101010010011…
…01100100110110100
31012210021201220100200
423311021230212310
5202003420111031
65500255040500
7626534551614
oct136511544664
935707656320
1012702894516
1154294a8734
122566210130
131275978540
1488710aa44
154e53158e6
hex2f526c9b4

12702894516 has 36 divisors (see below), whose sum is σ = 34580103012. Its totient is φ = 3908582784.

The previous prime is 12702894461. The next prime is 12702894527. The reversal of 12702894516 is 61549820721.

12702894516 is a `hidden beast` number, since 1 + 27 + 0 + 28 + 94 + 516 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3504166416 + 9198728100 = 59196^2 + 95910^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×127028945162 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13571001 + ... + 13571936.

It is an arithmetic number, because the mean of its divisors is an integer number (960558417).

Almost surely, 212702894516 is an apocalyptic number.

It is an amenable number.

12702894516 is an abundant number, since it is smaller than the sum of its proper divisors (21877208496).

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

12702894516 is a wasteful number, since it uses less digits than its factorization.

12702894516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27142960 (or 27142955 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 12702894516 in words is "twelve billion, seven hundred two million, eight hundred ninety-four thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 27142937 54285874 81428811 108571748 162857622 244286433 325715244 352858181 488572866 705716362 977145732 1058574543 1411432724 2117149086 3175723629 4234298172 6351447258 12702894516