Search a number
-
+
5181996072960 = 21637571033
BaseRepresentation
bin100101101101000011100…
…0010010000000000000000
3200100101122012211120000000
41023122013002100000000
51134400211443313320
615004324240000000
71043246456600010
oct113320702200000
920311565746000
105181996072960
111718743763913
126b8380000000
132b7877409575
1413cb4a6d7c40
158ebe02b3c90
hex4b687090000

5181996072960 has 1088 divisors, whose sum is σ = 21337436060160. Its totient is φ = 1183309627392.

The previous prime is 5181996072947. The next prime is 5181996072971. The reversal of 5181996072960 is 692706991815.

5181996072960 is a `hidden beast` number, since 5 + 1 + 8 + 19 + 9 + 607 + 2 + 9 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5016452604 + ... + 5016453636.

Almost surely, 25181996072960 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 5181996072960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10668718030080).

5181996072960 is an abundant number, since it is smaller than the sum of its proper divisors (16155439987200).

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

5181996072960 is an frugal number, since it uses more digits than its factorization.

5181996072960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1098 (or 1050 counting only the distinct ones).

The product of its (nonzero) digits is 14696640, while the sum is 63.

The spelling of 5181996072960 in words is "five trillion, one hundred eighty-one billion, nine hundred ninety-six million, seventy-two thousand, nine hundred sixty".