Search a number
-
+
12706462260 = 22325611157237
BaseRepresentation
bin10111101010101110…
…10011101000110100
31012210112110011101100
423311113103220310
5202010323243020
65500503330100
7626610101322
oct136527235064
935715404340
1012706462260
115430515188
122567450930
13127662742b
14887798d12
154e57bca90
hex2f55d3a34

12706462260 has 72 divisors (see below), whose sum is σ = 39174820776. Its totient is φ = 3332839680.

The previous prime is 12706462213. The next prime is 12706462261. The reversal of 12706462260 is 6226460721.

12706462260 is a `hidden beast` number, since 1 + 2 + 7 + 0 + 646 + 2 + 2 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 17791524 + 12688670736 = 4218^2 + 112644^2 .

It is a super-2 number, since 2×127064622602 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12706462261) 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 23 ways as a sum of consecutive naturals, for example, 567639 + ... + 589598.

It is an arithmetic number, because the mean of its divisors is an integer number (544094733).

Almost surely, 212706462260 is an apocalyptic number.

12706462260 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12706462260 is an abundant number, since it is smaller than the sum of its proper divisors (26468358516).

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

12706462260 is a wasteful number, since it uses less digits than its factorization.

12706462260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1157313 (or 1157308 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 12706462260 in words is "twelve billion, seven hundred six million, four hundred sixty-two thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 61 90 122 180 183 244 305 366 549 610 732 915 1098 1220 1830 2196 2745 3660 5490 10980 1157237 2314474 3471711 4628948 5786185 6943422 10415133 11572370 13886844 17358555 20830266 23144740 34717110 41660532 52075665 69434220 70591457 104151330 141182914 208302660 211774371 282365828 352957285 423548742 635323113 705914570 847097484 1058871855 1270646226 1411829140 2117743710 2541292452 3176615565 4235487420 6353231130 12706462260