Search a number
-
+
53117760960 = 2633511331149
BaseRepresentation
bin110001011110000100…
…001011010111000000
312002002212102211122000
4301132010023113000
51332241121322320
640222453544000
73560210342565
oct613604132700
9162085384560
1053117760960
1120588656000
12a365045000
135016975cb4
1427dc82c86c
1515ad44ac90
hexc5e10b5c0

53117760960 has 896 divisors, whose sum is σ = 214189056000. Its totient is φ = 12378009600.

The previous prime is 53117760931. The next prime is 53117760977. The reversal of 53117760960 is 6906771135.

53117760960 is a `hidden beast` number, since 5 + 31 + 1 + 7 + 7 + 609 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 356494966 + ... + 356495114.

Almost surely, 253117760960 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 53117760960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107094528000).

53117760960 is an abundant number, since it is smaller than the sum of its proper divisors (161071295040).

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

53117760960 is a wasteful number, since it uses less digits than its factorization.

53117760960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The spelling of 53117760960 in words is "fifty-three billion, one hundred seventeen million, seven hundred sixty thousand, nine hundred sixty".