Search a number
-
+
45132779268 = 223212503100271
BaseRepresentation
bin101010000010000111…
…111000111100000100
311022111101021201222100
4222002013320330010
51214412442414033
632422252032100
73155301202563
oct520207707404
9138441251870
1045132779268
1118160306085
1288b6a62630
134343590965
142282153bda
15129241a513
hexa821f8f04

45132779268 has 36 divisors (see below), whose sum is σ = 114095899008. Its totient is φ = 15042906480.

The previous prime is 45132779267. The next prime is 45132779281. The reversal of 45132779268 is 86297723154.

It is a happy number.

45132779268 is a `hidden beast` number, since 4 + 51 + 327 + 7 + 9 + 268 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (45132779267) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 399973 + ... + 500243.

It is an arithmetic number, because the mean of its divisors is an integer number (3169330528).

Almost surely, 245132779268 is an apocalyptic number.

It is an amenable number.

45132779268 is an abundant number, since it is smaller than the sum of its proper divisors (68963119740).

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

45132779268 is a wasteful number, since it uses less digits than its factorization.

45132779268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112784 (or 112779 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 54.

The spelling of 45132779268 in words is "forty-five billion, one hundred thirty-two million, seven hundred seventy-nine thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 12503 25006 37509 50012 75018 100271 112527 150036 200542 225054 300813 401084 450108 601626 902439 1203252 1804878 3609756 1253688313 2507376626 3761064939 5014753252 7522129878 11283194817 15044259756 22566389634 45132779268