Search a number
-
+
5105892556800 = 215325271941127
BaseRepresentation
bin100101001001100111011…
…1010011000000000000000
3200002010012102122100222100
41022103032322120000000
51132123331443304200
614505340433310400
71034613530433420
oct112231672300000
920063172570870
105105892556800
111699440268812
126a5681105400
132b06396210b9
141391ab248480
158cc38e1dd00
hex4a4cee98000

5105892556800 has 2304 divisors, whose sum is σ = 22717345996800. Its totient is φ = 1070176665600.

The previous prime is 5105892556799. The next prime is 5105892556801. The reversal of 5105892556800 is 86552985015.

5105892556800 is a `hidden beast` number, since 5 + 1 + 0 + 5 + 8 + 9 + 2 + 556 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5105892556799) and next prime (5105892556801).

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-3 number, since 3×51058925568003 (a number of 39 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5105892556801) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 40203878337 + ... + 40203878463.

It is an arithmetic number, because the mean of its divisors is an integer number (9859959200).

Almost surely, 25105892556800 is an apocalyptic number.

5105892556800 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 5105892556800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11358672998400).

5105892556800 is an abundant number, since it is smaller than the sum of its proper divisors (17611453440000).

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

5105892556800 is a wasteful number, since it uses less digits than its factorization.

5105892556800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 4320000, while the sum is 54.

The spelling of 5105892556800 in words is "five trillion, one hundred five billion, eight hundred ninety-two million, five hundred fifty-six thousand, eight hundred".