Search a number
-
+
53068960800 = 253252191093559
BaseRepresentation
bin110001011011001010…
…000001010000100000
312001222110121112101200
4301123022001100200
51332141123221200
640213552001200
73556045503222
oct613312012040
9161873545350
1053068960800
1120563054799
12a350830200
13500981aa6b
1427d6168412
1515a900b800
hexc5b281420

53068960800 has 432 divisors, whose sum is σ = 198846648000. Its totient is φ = 13280163840.

The previous prime is 53068960771. The next prime is 53068960811. The reversal of 53068960800 is 806986035.

53068960800 is a `hidden beast` number, since 5 + 30 + 6 + 8 + 9 + 608 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14909421 + ... + 14912979.

Almost surely, 253068960800 is an apocalyptic number.

53068960800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53068960800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99423324000).

53068960800 is an abundant number, since it is smaller than the sum of its proper divisors (145777687200).

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

53068960800 is a wasteful number, since it uses less digits than its factorization.

53068960800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3713 (or 3697 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 53068960800 in words is "fifty-three billion, sixty-eight million, nine hundred sixty thousand, eight hundred".