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856379212956 = 22352381370033
BaseRepresentation
bin11000111011001000010…
…11011100010010011100
310000212110112120111200000
430131210023130102130
5103012331034303311
61453225402334300
7115604606130201
oct14354413342234
93025415514600
10856379212956
11300208815973
12119b7b7ba390
13629aa529007
142d63ddb7ca8
1517422c29056
hexc7642dc49c

856379212956 has 72 divisors (see below), whose sum is σ = 2245860677424. Its totient is φ = 285339075840.

The previous prime is 856379212939. The next prime is 856379212963. The reversal of 856379212956 is 659212973658.

856379212956 is a `hidden beast` number, since 8 + 563 + 7 + 9 + 2 + 12 + 9 + 56 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 856379212893 and 856379212902.

It is a congruent number.

It is an unprimeable number.

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, 2129316 + ... + 2499348.

Almost surely, 2856379212956 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 856379212956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1122930338712).

856379212956 is an abundant number, since it is smaller than the sum of its proper divisors (1389481464468).

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

856379212956 is a wasteful number, since it uses less digits than its factorization.

856379212956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372433 (or 372419 counting only the distinct ones).

The product of its digits is 48988800, while the sum is 63.

The spelling of 856379212956 in words is "eight hundred fifty-six billion, three hundred seventy-nine million, two hundred twelve thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 972 2381 4762 7143 9524 14286 21429 28572 42858 64287 85716 128574 192861 257148 370033 385722 578583 740066 771444 1110099 1157166 1480132 2220198 2314332 3330297 4440396 6660594 9990891 13321188 19981782 29972673 39963564 59945346 89918019 119890692 179836038 359672076 881048573 1762097146 2643145719 3524194292 5286291438 7929437157 10572582876 15858874314 23788311471 31717748628 47576622942 71364934413 95153245884 142729868826 214094803239 285459737652 428189606478 856379212956