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256053281148 = 223277431367543
BaseRepresentation
bin1110111001110111110…
…1110000000101111100
3220110220210102101210100
43232131331300011330
513143344114444043
6313343530241100
724333144656520
oct3563575600574
9813823371710
10256053281148
1199656446a45
124175b886190
131b1b81c1662
14c57072dd80
1569d9478cd3
hex3b9df7017c

256053281148 has 72 divisors (see below), whose sum is σ = 740705591808. Its totient is φ = 73059563808.

The previous prime is 256053281147. The next prime is 256053281173. The reversal of 256053281148 is 841182350652.

256053281148 is a `hidden beast` number, since 2 + 5 + 60 + 532 + 8 + 11 + 48 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256053281147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 496536 + ... + 871007.

It is an arithmetic number, because the mean of its divisors is an integer number (10287577664).

Almost surely, 2256053281148 is an apocalyptic number.

256053281148 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

256053281148 is an abundant number, since it is smaller than the sum of its proper divisors (484652310660).

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

256053281148 is a wasteful number, since it uses less digits than its factorization.

256053281148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1368303 (or 1368298 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 256053281148 in words is "two hundred fifty-six billion, fifty-three million, two hundred eighty-one thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 743 1486 2229 2972 4458 5201 6687 8916 10402 13374 15603 20804 26748 31206 46809 62412 93618 187236 1367543 2735086 4102629 5470172 8205258 9572801 12307887 16410516 19145602 24615774 28718403 38291204 49231548 57436806 86155209 114873612 172310418 344620836 1016084449 2032168898 3048253347 4064337796 6096506694 7112591143 9144760041 12193013388 14225182286 18289520082 21337773429 28450364572 36579040164 42675546858 64013320287 85351093716 128026640574 256053281148