Search a number
-
+
27268403823 = 32291632812281
BaseRepresentation
bin11001011001010100…
…101101001001101111
32121101101022102212100
4121121110231021233
5421321202410243
620305452310143
71653510415413
oct313124551157
977341272770
1027268403823
1110623337431
125350172353
132757497cbb
14146974cd43
15a98e020d3
hex65952d26f

27268403823 has 48 divisors (see below), whose sum is σ = 41159795040. Its totient is φ = 17374694400.

The previous prime is 27268403821. The next prime is 27268403843. The reversal of 27268403823 is 32830486272.

27268403823 is a `hidden beast` number, since 2 + 7 + 268 + 4 + 0 + 382 + 3 = 666.

It is not a de Polignac number, because 27268403823 - 21 = 27268403821 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27268403821) 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 47 ways as a sum of consecutive naturals, for example, 11953443 + ... + 11955723.

It is an arithmetic number, because the mean of its divisors is an integer number (857495730).

Almost surely, 227268403823 is an apocalyptic number.

27268403823 is a deficient number, since it is larger than the sum of its proper divisors (13891391217).

27268403823 is a wasteful number, since it uses less digits than its factorization.

27268403823 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2760 (or 2757 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 27268403823 in words is "twenty-seven billion, two hundred sixty-eight million, four hundred three thousand, eight hundred twenty-three".

Divisors: 1 3 9 29 87 163 261 281 489 843 1467 2281 2529 4727 6843 8149 14181 20529 24447 42543 45803 66149 73341 137409 198447 371803 412227 595341 640961 1115409 1328287 1922883 3346227 3984861 5768649 10782287 11954583 18587869 32346861 55763607 97040583 104476643 167290821 313429929 940289787 3029822647 9089467941 27268403823