Search a number
-
+
5268915025920 = 211335721329917
BaseRepresentation
bin100110010101100001111…
…0011101111100000000000
3200122200222202011212011000
41030223003303233200000
51142311214221312140
615112301154452000
71052444424524100
oct114530363574000
920580882155130
105268915025920
111751597198737
12711198b94000
132c2b19b0b490
14143034333200
15920caddca30
hex4cac3cef800

5268915025920 has 1152 divisors, whose sum is σ = 23463921499200. Its totient is φ = 1111646011392.

The previous prime is 5268915025901. The next prime is 5268915025937. The reversal of 5268915025920 is 295205198625.

5268915025920 is a `hidden beast` number, since 5 + 2 + 6 + 89 + 1 + 502 + 59 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×52689150259202 (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 176102802 + ... + 176132718.

Almost surely, 25268915025920 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 5268915025920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11731960749600).

5268915025920 is an abundant number, since it is smaller than the sum of its proper divisors (18195006473280).

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

5268915025920 is a wasteful number, since it uses less digits than its factorization.

5268915025920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29980 (or 29947 counting only the distinct ones).

The product of its (nonzero) digits is 3888000, while the sum is 54.

The spelling of 5268915025920 in words is "five trillion, two hundred sixty-eight billion, nine hundred fifteen million, twenty-five thousand, nine hundred twenty".