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256022655144462 = 235526795586717
BaseRepresentation
bin111010001101100111101011…
…011010100001001000001110
31020120111112020000222110100000
4322031213223122201020032
5232024133344204110322
62304303103432145130
7104633012031100023
oct7215475332411016
91216445200873300
10256022655144462
1174638664372178
122486aaa52381a6
13acb1aa982936b
1447317c3bbb54a
151e8eb0ba773ac
hexe8d9eb6a120e

256022655144462 has 24 divisors (see below), whose sum is σ = 575260780696056. Its totient is φ = 85340885047992.

The previous prime is 256022655144461. The next prime is 256022655144467. The reversal of 256022655144462 is 264441556220652.

256022655144462 is a `hidden beast` number, since 2 + 5 + 6 + 0 + 2 + 2 + 6 + 551 + 44 + 46 + 2 = 666.

256022655144462 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2560226551444622 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 256022655144399 and 256022655144408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256022655144461) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 263397792873 + ... + 263397793844.

It is an arithmetic number, because the mean of its divisors is an integer number (23969199195669).

Almost surely, 2256022655144462 is an apocalyptic number.

256022655144462 is an abundant number, since it is smaller than the sum of its proper divisors (319238125551594).

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

256022655144462 is an equidigital number, since it uses as much as digits as its factorization.

256022655144462 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526795586734 (or 526795586722 counting only the distinct ones).

The product of its (nonzero) digits is 27648000, while the sum is 54.

The spelling of 256022655144462 in words is "two hundred fifty-six trillion, twenty-two billion, six hundred fifty-five million, one hundred forty-four thousand, four hundred sixty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 526795586717 1053591173434 1580386760151 3160773520302 4741160280453 9482320560906 14223480841359 28446961682718 42670442524077 85340885048154 128011327572231 256022655144462