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2856820680324 = 22321323057264749
BaseRepresentation
bin101001100100100111110…
…010000010011010000100
3101010002221202010020000100
4221210213302002122010
5333301232043232244
610024223313444100
7413253452056152
oct51444762023204
911102852106010
102856820680324
11a01630884716
123a1807570630
13179521390380
149c3b13443d2
154e4a485bb69
hex29927c82684

2856820680324 has 72 divisors (see below), whose sum is σ = 7777267407000. Its totient is φ = 878980303872.

The previous prime is 2856820680319. The next prime is 2856820680341. The reversal of 2856820680324 is 4230860286582.

It is a happy number.

2856820680324 is a `hidden beast` number, since 28 + 568 + 20 + 6 + 8 + 0 + 32 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 824536641600 + 2032284038724 = 908040^2 + 1425582^2 .

It is a super-2 number, since 2×28568206803242 (a number of 26 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 23 ways as a sum of consecutive naturals, for example, 10658302 + ... + 10923050.

It is an arithmetic number, because the mean of its divisors is an integer number (108017602875).

Almost surely, 22856820680324 is an apocalyptic number.

It is an amenable number.

2856820680324 is an abundant number, since it is smaller than the sum of its proper divisors (4920446726676).

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

2856820680324 is a wasteful number, since it uses less digits than its factorization.

2856820680324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287829 (or 287824 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 2856820680324 in words is "two trillion, eight hundred fifty-six billion, eight hundred twenty million, six hundred eighty thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 23057 46114 69171 92228 138342 207513 264749 276684 299741 415026 529498 599482 794247 830052 899223 1058996 1198964 1588494 1798446 2382741 2697669 3176988 3441737 3596892 4765482 5395338 6883474 9530964 10325211 10790676 13766948 20650422 30975633 41300844 61951266 123902532 6104317693 12208635386 18312953079 24417270772 36625906158 54938859237 73251812316 79356130009 109877718474 158712260018 219755436948 238068390027 317424520036 476136780054 714205170081 952273560108 1428410340162 2856820680324