Search a number
-
+
5041566351360 = 21533571119241
BaseRepresentation
bin100100101011101010011…
…0001011000000000000000
3122211222011102112120001000
41021113110301120000000
51130100111441220420
614420021423412000
71030145466630030
oct111272461300000
918758142476030
105041566351360
111674130854560
1269510a454000
132a75577ca946
14136027da98c0
158b2219ac690
hex495d4c58000

5041566351360 has 3072 divisors, whose sum is σ = 24161842252800. Its totient is φ = 968255078400.

The previous prime is 5041566351337. The next prime is 5041566351397. The reversal of 5041566351360 is 631536651405.

It is a happy number.

5041566351360 is a `hidden beast` number, since 5 + 0 + 4 + 1 + 5 + 6 + 635 + 1 + 3 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

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 191 ways as a sum of consecutive naturals, for example, 122965032940 + ... + 122965032980.

It is an arithmetic number, because the mean of its divisors is an integer number (7865183025).

Almost surely, 25041566351360 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 5041566351360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12080921126400).

5041566351360 is an abundant number, since it is smaller than the sum of its proper divisors (19120275901440).

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

5041566351360 is a wasteful number, since it uses less digits than its factorization.

5041566351360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 45.

The spelling of 5041566351360 in words is "five trillion, forty-one billion, five hundred sixty-six million, three hundred fifty-one thousand, three hundred sixty".