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256497151320 = 233255711247797
BaseRepresentation
bin1110111011100001101…
…0111110110101011000
3220112001201122100012100
43232320122332311120
513200301232320240
6313455544043400
724350144545614
oct3567032766530
9815051570170
10256497151320
1199863a561a3
1241864463560
131b259153227
14c5b3674344
156a13405e30
hex3bb86bed58

256497151320 has 96 divisors (see below), whose sum is σ = 835076333520. Its totient is φ = 68279397120.

The previous prime is 256497151307. The next prime is 256497151327. The reversal of 256497151320 is 23151794652.

256497151320 is a `hidden beast` number, since 2 + 5 + 6 + 49 + 71 + 513 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256497151327) 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, 418339 + ... + 829458.

Almost surely, 2256497151320 is an apocalyptic number.

256497151320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

256497151320 is an abundant number, since it is smaller than the sum of its proper divisors (578579182200).

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

256497151320 is a wasteful number, since it uses less digits than its factorization.

256497151320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1248385 (or 1248378 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 256497151320 in words is "two hundred fifty-six billion, four hundred ninety-seven million, one hundred fifty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 571 1142 1713 2284 2855 3426 4568 5139 5710 6852 8565 10278 11420 13704 17130 20556 22840 25695 34260 41112 51390 68520 102780 205560 1247797 2495594 3743391 4991188 6238985 7486782 9982376 11230173 12477970 14973564 18716955 22460346 24955940 29947128 37433910 44920692 49911880 56150865 74867820 89841384 112301730 149735640 224603460 449206920 712492087 1424984174 2137476261 2849968348 3562460435 4274952522 5699936696 6412428783 7124920870 8549905044 10687381305 12824857566 14249841740 17099810088 21374762610 25649715132 28499683480 32062143915 42749525220 51299430264 64124287830 85499050440 128248575660 256497151320