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256745055675780 = 22345750944480663
BaseRepresentation
bin111010011000001000011101…
…110101110110010110000100
31020200001120212101000202020000
4322120020131311312112010
5232123002333223111110
62310015014510441300
7105036134552226030
oct7230103565662604
91220046771022200
10256745055675780
1174896a6a665571
1224966ab3803230
13b034c54ab4659
1447587541251c0
151ea37dc4c91c0
hexe9821dd76584

256745055675780 has 240 divisors, whose sum is σ = 922286996547840. Its totient is φ = 58569288959232.

The previous prime is 256745055675733. The next prime is 256745055675821. The reversal of 256745055675780 is 87576550547652.

256745055675780 is a `hidden beast` number, since 2 + 5 + 6 + 7 + 4 + 5 + 0 + 5 + 567 + 57 + 8 + 0 = 666.

It is a super-2 number, since 2×2567450556757802 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 256745055675699 and 256745055675708.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 16468272 + ... + 28012391.

It is an arithmetic number, because the mean of its divisors is an integer number (3842862485616).

Almost surely, 2256745055675780 is an apocalyptic number.

256745055675780 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

256745055675780 is an abundant number, since it is smaller than the sum of its proper divisors (665541940872060).

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

256745055675780 is a wasteful number, since it uses less digits than its factorization.

256745055675780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44481200 (or 44481189 counting only the distinct ones).

The product of its (nonzero) digits is 2469600000, while the sum is 72.

The spelling of 256745055675780 in words is "two hundred fifty-six trillion, seven hundred forty-five billion, fifty-five million, six hundred seventy-five thousand, seven hundred eighty".