Search a number
-
+
120016621656 = 233210191635817
BaseRepresentation
bin110111111000110001…
…1000101000001011000
3102110210011110002010100
41233301203011001120
53431243223343111
6131045044415400
711446060311021
oct1576143050130
9373704402110
10120016621656
1146998288228
121b3153a7560
13b418786b79
145b47631c48
1531c668a756
hex1bf18c5058

120016621656 has 48 divisors (see below), whose sum is σ = 325364200200. Its totient is φ = 39966256512.

The previous prime is 120016621651. The next prime is 120016621691. The reversal of 120016621656 is 656126610021.

120016621656 is a `hidden beast` number, since 1 + 20 + 0 + 1 + 6 + 621 + 6 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 120016621656.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120016621651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 744541 + ... + 891276.

Almost surely, 2120016621656 is an apocalyptic number.

It is an amenable number.

120016621656 is an abundant number, since it is smaller than the sum of its proper divisors (205347578544).

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

120016621656 is a wasteful number, since it uses less digits than its factorization.

120016621656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1636848 (or 1636841 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 120016621656 in words is "one hundred twenty billion, sixteen million, six hundred twenty-one thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1019 2038 3057 4076 6114 8152 9171 12228 18342 24456 36684 73368 1635817 3271634 4907451 6543268 9814902 13086536 14722353 19629804 29444706 39259608 58889412 117778824 1666897523 3333795046 5000692569 6667590092 10001385138 13335180184 15002077707 20002770276 30004155414 40005540552 60008310828 120016621656