Search a number
-
+
256642707627 = 3247606720349
BaseRepresentation
bin1110111100000100011…
…0001111000010101011
3220112102212112100220200
43233001012033002223
513201101013121002
6313522223523243
724353563010205
oct3570106170253
9815385470820
10256642707627
1199929132869
12418a5159523
131b280357617
14c5c8b23775
156a210a8b1c
hex3bc118f0ab

256642707627 has 12 divisors (see below), whose sum is σ = 378593498400. Its totient is φ = 167454816048.

The previous prime is 256642707523. The next prime is 256642707647. The reversal of 256642707627 is 726707246652.

256642707627 is a `hidden beast` number, since 2 + 5 + 6 + 6 + 4 + 2 + 7 + 0 + 7 + 627 = 666.

256642707627 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 256642707627 - 215 = 256642674859 is a prime.

It is a super-2 number, since 2×2566427076272 (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (256642707647) 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 11 ways as a sum of consecutive naturals, for example, 303359752 + ... + 303360597.

It is an arithmetic number, because the mean of its divisors is an integer number (31549458200).

Almost surely, 2256642707627 is an apocalyptic number.

256642707627 is a deficient number, since it is larger than the sum of its proper divisors (121950790773).

256642707627 is a wasteful number, since it uses less digits than its factorization.

256642707627 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606720402 (or 606720399 counting only the distinct ones).

The product of its (nonzero) digits is 11854080, while the sum is 54.

The spelling of 256642707627 in words is "two hundred fifty-six billion, six hundred forty-two million, seven hundred seven thousand, six hundred twenty-seven".

Divisors: 1 3 9 47 141 423 606720349 1820161047 5460483141 28515856403 85547569209 256642707627