Search a number
-
+
137693762856 = 233213147108721
BaseRepresentation
bin1000000000111100110…
…0000001010100101000
3111011102010002220010200
42000033030001110220
54223444100402411
6143131115112200
712643115446566
oct2001714012450
9434363086120
10137693762856
11534395a3031
1222829442660
13cca4b44c30
146943218a36
1538ad51be56
hex200f301528

137693762856 has 48 divisors (see below), whose sum is σ = 401606811060. Its totient is φ = 42367311360.

The previous prime is 137693762849. The next prime is 137693762993. The reversal of 137693762856 is 658267396731.

137693762856 is a `hidden beast` number, since 137 + 69 + 376 + 28 + 56 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 132882120900 + 4811641956 = 364530^2 + 69366^2 .

It is a junction number, because it is equal to n+sod(n) for n = 137693762793 and 137693762802.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 73553425 + ... + 73555296.

Almost surely, 2137693762856 is an apocalyptic number.

It is an amenable number.

137693762856 is an abundant number, since it is smaller than the sum of its proper divisors (263913048204).

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

137693762856 is a wasteful number, since it uses less digits than its factorization.

137693762856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147108746 (or 147108739 counting only the distinct ones).

The product of its digits is 68584320, while the sum is 63.

The spelling of 137693762856 in words is "one hundred thirty-seven billion, six hundred ninety-three million, seven hundred sixty-two thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 147108721 294217442 441326163 588434884 882652326 1176869768 1323978489 1765304652 1912413373 2647956978 3530609304 3824826746 5295913956 5737240119 7649653492 10591827912 11474480238 15299306984 17211720357 22948960476 34423440714 45897920952 68846881428 137693762856