Search a number
-
+
256255802064 = 2433593184727
BaseRepresentation
bin1110111010101000001…
…0010011101011010000
3220111102220111112021000
43232222002103223100
513144302441131224
6313420003102000
724341154243513
oct3565202235320
9814386445230
10256255802064
119974a7a09a9
12417b7671900
131b21b14c212
14c58d5aad7a
1569ec1300c9
hex3baa093ad0

256255802064 has 40 divisors (see below), whose sum is σ = 735549062720. Its totient is φ = 85418600544.

The previous prime is 256255802057. The next prime is 256255802083. The reversal of 256255802064 is 460208552652.

It is a happy number.

256255802064 is a `hidden beast` number, since 2 + 5 + 6 + 2 + 5 + 580 + 2 + 0 + 64 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 296591932 + ... + 296592795.

It is an arithmetic number, because the mean of its divisors is an integer number (18388726568).

Almost surely, 2256255802064 is an apocalyptic number.

256255802064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

256255802064 is an abundant number, since it is smaller than the sum of its proper divisors (479293260656).

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

256255802064 is a wasteful number, since it uses less digits than its factorization.

256255802064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593184744 (or 593184732 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

The spelling of 256255802064 in words is "two hundred fifty-six billion, two hundred fifty-five million, eight hundred two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 593184727 1186369454 1779554181 2372738908 3559108362 4745477816 5338662543 7118216724 9490955632 10677325086 14236433448 16015987629 21354650172 28472866896 32031975258 42709300344 64063950516 85418600688 128127901032 256255802064