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256666143136 = 25133797162493
BaseRepresentation
bin1110111100001001111…
…1101000100110100000
3220112111111122000101111
43233002133220212200
513201123013040021
6313524422113104
724354266135254
oct3570237504640
9815444560344
10256666143136
119994038a257
12418b0b7b794
131b2851716a0
14c5cbca4264
156a231878e1
hex3bc27e89a0

256666143136 has 48 divisors (see below), whose sum is σ = 544328250984. Its totient is φ = 118429369344.

The previous prime is 256666143127. The next prime is 256666143137. The reversal of 256666143136 is 631341666652.

256666143136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 24823893136 + 231842250000 = 157556^2 + 481500^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 256666143136.

It is not an unprimeable number, because it can be changed into a prime (256666143137) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1498306 + ... + 1660798.

Almost surely, 2256666143136 is an apocalyptic number.

256666143136 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

256666143136 is an abundant number, since it is smaller than the sum of its proper divisors (287662107848).

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

256666143136 is a wasteful number, since it uses less digits than its factorization.

256666143136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166313 (or 166305 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 49.

The spelling of 256666143136 in words is "two hundred fifty-six billion, six hundred sixty-six million, one hundred forty-three thousand, one hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 3797 7594 15188 30376 49361 60752 98722 121504 162493 197444 324986 394888 649972 789776 1299944 1579552 2112409 2599888 4224818 5199776 8449636 16899272 33798544 67597088 616985921 1233971842 2467943684 4935887368 8020816973 9871774736 16041633946 19743549472 32083267892 64166535784 128333071568 256666143136