Search a number
-
+
119739600864 = 25331319561083
BaseRepresentation
bin110111110000100001…
…0010100111111100000
3102110001212011222001000
41233201002110333200
53430211314211424
6131001351112000
711436154546152
oct1574102247740
9373055158030
10119739600864
1146865979424
121b258672600
13b3a3273540
145b1c920ad2
1531ac1ba3c9
hex1be1094fe0

119739600864 has 192 divisors, whose sum is σ = 395900870400. Its totient is φ = 34903789056.

The previous prime is 119739600853. The next prime is 119739600887. The reversal of 119739600864 is 468006937911.

119739600864 is a `hidden beast` number, since 1 + 197 + 396 + 0 + 0 + 8 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 119739600864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67134 + ... + 493949.

It is an arithmetic number, because the mean of its divisors is an integer number (2061983700).

Almost surely, 2119739600864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 119739600864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197950435200).

119739600864 is an abundant number, since it is smaller than the sum of its proper divisors (276161269536).

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

119739600864 is a wasteful number, since it uses less digits than its factorization.

119739600864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561134 (or 561120 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 119739600864 in words is "one hundred nineteen billion, seven hundred thirty-nine million, six hundred thousand, eight hundred sixty-four".