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256762805068 = 227111638150891
BaseRepresentation
bin1110111100100001000…
…0010111101101001100
3220112202020111221122001
43233020100113231030
513201322234230233
6313542154002044
724356551555420
oct3571020275514
9815666457561
10256762805068
119998aa00850
1241919416324
131b29c1b69b3
14c5daa66b80
156a2b8cd27d
hex3bc8417b4c

256762805068 has 48 divisors (see below), whose sum is σ = 560254963968. Its totient is φ = 100029384000.

The previous prime is 256762805059. The next prime is 256762805071. The reversal of 256762805068 is 860508267652.

256762805068 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (55) coincides with the sum of the digits of its prime factors.

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 15 ways as a sum of consecutive naturals, for example, 5019903 + ... + 5070793.

It is an arithmetic number, because the mean of its divisors is an integer number (11671978416).

Almost surely, 2256762805068 is an apocalyptic number.

256762805068 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

256762805068 is an abundant number, since it is smaller than the sum of its proper divisors (303492158900).

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

256762805068 is a wasteful number, since it uses less digits than its factorization.

256762805068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67294 (or 67292 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 55.

The spelling of 256762805068 in words is "two hundred fifty-six billion, seven hundred sixty-two million, eight hundred five thousand, sixty-eight".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 308 16381 32762 50891 65524 101782 114667 180191 203564 229334 356237 360382 458668 559801 712474 720764 1119602 1261337 1424948 2239204 2522674 3918607 5045348 7837214 15674428 833645471 1667290942 3334581884 5835518297 9170100181 11671036594 18340200362 23342073188 36680400724 64190701267 128381402534 256762805068