Search a number
-
+
12702567332 = 227413101741
BaseRepresentation
bin10111101010010000…
…11100101110100100
31012210021010021112202
423311020130232210
5202003324123312
65500244034032
7626532020000
oct136510345644
935707107482
1012702567332
1154292a4934
122566092918
131275892640
14887063700
154e529d9c2
hex2f521cba4

12702567332 has 60 divisors (see below), whose sum is σ = 27927975516. Its totient is φ = 5025142080.

The previous prime is 12702567301. The next prime is 12702567341. The reversal of 12702567332 is 23376520721.

It is a happy number.

12702567332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 590684416 + 12111882916 = 24304^2 + 110054^2 .

It is a super-2 number, since 2×127025673322 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 73982 + ... + 175722.

Almost surely, 212702567332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12702567332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13963987758).

12702567332 is an abundant number, since it is smaller than the sum of its proper divisors (15225408184).

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

12702567332 is a wasteful number, since it uses less digits than its factorization.

12702567332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101786 (or 101763 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 38.

The spelling of 12702567332 in words is "twelve billion, seven hundred two million, five hundred sixty-seven thousand, three hundred thirty-two".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 182 196 343 364 637 686 1274 1372 2401 2548 4459 4802 8918 9604 17836 31213 62426 101741 124852 203482 406964 712187 1322633 1424374 2645266 2848748 4985309 5290532 9258431 9970618 18516862 19941236 34897163 37033724 64809017 69794326 129618034 139588652 244280141 259236068 453663119 488560282 907326238 977120564 1814652476 3175641833 6351283666 12702567332