Search a number
-
+
256232365636 = 22132194692
BaseRepresentation
bin1110111010100010100…
…0111001111001000100
3220111101021101211112011
43232220220321321010
513144230441200021
6313413404504004
724340451112652
oct3565050717104
9814337354464
10256232365636
1199738543855
12417ab84b004
131b216334900
14c58a429dd2
1569ea050de1
hex3ba8a39e44

256232365636 has 27 divisors (see below), whose sum is σ = 485577693111. Its totient is φ = 118255017504.

The previous prime is 256232365621. The next prime is 256232365663. The reversal of 256232365636 is 636563232652.

The square root of 256232365636 is 506194.

It is a perfect power (a square), and thus also a powerful number.

256232365636 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 64612556100 + 191619809536 = 254190^2 + 437744^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 256232365636.

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 8 ways as a sum of consecutive naturals, for example, 13151310 + ... + 13170778.

Almost surely, 2256232365636 is an apocalyptic number.

256232365636 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

256232365636 is the 506194-th square number.

It is an amenable number.

256232365636 is a deficient number, since it is larger than the sum of its proper divisors (229345327475).

256232365636 is an frugal number, since it uses more digits than its factorization.

256232365636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38968 (or 19484 counting only the distinct ones).

The product of its digits is 6998400, while the sum is 49.

Multiplying 256232365636 by its sum of digits (49), we get a square (12555385916164 = 35433582).

The spelling of 256232365636 in words is "two hundred fifty-six billion, two hundred thirty-two million, three hundred sixty-five thousand, six hundred thirty-six".

Divisors: 1 2 4 13 26 52 169 338 676 19469 38938 77876 253097 506194 1012388 3290261 6580522 13161044 379041961 758083922 1516167844 4927545493 9855090986 19710181972 64058091409 128116182818 256232365636