Search a number
-
+
131842090764 = 22329737755467
BaseRepresentation
bin111101011001001100…
…1101010011100001100
3110121022022011011002200
41322302121222130030
54130003033401024
6140322321321500
712345112165236
oct1726231523414
9417268134080
10131842090764
1150a0647219a
1221675796290
13c581710c77
146549dbb256
1536699332c9
hex1eb266a70c

131842090764 has 36 divisors (see below), whose sum is σ = 336703263624. Its totient is φ = 43494296832.

The previous prime is 131842090763. The next prime is 131842090817. The reversal of 131842090764 is 467090248131.

131842090764 is a `hidden beast` number, since 131 + 8 + 420 + 90 + 7 + 6 + 4 = 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 (131842090763) 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, 18874242 + ... + 18881225.

It is an arithmetic number, because the mean of its divisors is an integer number (9352868434).

Almost surely, 2131842090764 is an apocalyptic number.

It is an amenable number.

131842090764 is an abundant number, since it is smaller than the sum of its proper divisors (204861172860).

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

131842090764 is a wasteful number, since it uses less digits than its factorization.

131842090764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37755574 (or 37755569 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 131842090764 in words is "one hundred thirty-one billion, eight hundred forty-two million, ninety thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 97 194 291 388 582 873 1164 1746 3492 37755467 75510934 113266401 151021868 226532802 339799203 453065604 679598406 1359196812 3662280299 7324560598 10986840897 14649121196 21973681794 32960522691 43947363588 65921045382 131842090764