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130945819464 = 23321818691937
BaseRepresentation
bin111100111110011111…
…0101010001101001000
3110111222211122212000100
41321330332222031020
54121134112210324
6140053343205400
712313650046335
oct1717476521510
9414884585010
10130945819464
1150596557309
12214655a6860
13c46ab21815
1464a2d5198c
153615de14c9
hex1e7cfaa348

130945819464 has 24 divisors (see below), whose sum is σ = 354644927910. Its totient is φ = 43648606464.

The previous prime is 130945819453. The next prime is 130945819493. The reversal of 130945819464 is 464918549031.

130945819464 is a `hidden beast` number, since 1 + 30 + 94 + 58 + 19 + 464 = 666.

It can be written as a sum of positive squares in only one way, i.e., 124015256964 + 6930562500 = 352158^2 + 83250^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a self number, because there is not a number n which added to its sum of digits gives 130945819464.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 909345897 + ... + 909346040.

Almost surely, 2130945819464 is an apocalyptic number.

It is an amenable number.

130945819464 is an abundant number, since it is smaller than the sum of its proper divisors (223699108446).

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

130945819464 is a wasteful number, since it uses less digits than its factorization.

130945819464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1818691949 (or 1818691942 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 130945819464 in words is "one hundred thirty billion, nine hundred forty-five million, eight hundred nineteen thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1818691937 3637383874 5456075811 7274767748 10912151622 14549535496 16368227433 21824303244 32736454866 43648606488 65472909732 130945819464