Search a number
-
+
5368791207168 = 2837194311171
BaseRepresentation
bin100111000100000010011…
…1001001000110100000000
3201000020210021211120000000
41032020010321020310000
51200430241022112133
615230215540000000
71062611436205014
oct116100471106400
921006707746000
105368791207168
11178a989743994
12728611390000
132cc375a87a8c
14147bcab62544
15949c431a413
hex4e204e48d00

5368791207168 has 576 divisors, whose sum is σ = 16972120166400. Its totient is φ = 1690029619200.

The previous prime is 5368791207137. The next prime is 5368791207239. The reversal of 5368791207168 is 8617021978635.

5368791207168 is a `hidden beast` number, since 5 + 368 + 7 + 9 + 1 + 207 + 1 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

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, 4584791223 + ... + 4584792393.

It is an arithmetic number, because the mean of its divisors is an integer number (29465486400).

Almost surely, 25368791207168 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 5368791207168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8486060083200).

5368791207168 is an abundant number, since it is smaller than the sum of its proper divisors (11603328959232).

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

5368791207168 is an equidigital number, since it uses as much as digits as its factorization.

5368791207168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1658 (or 1626 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 63.

The spelling of 5368791207168 in words is "five trillion, three hundred sixty-eight billion, seven hundred ninety-one million, two hundred seven thousand, one hundred sixty-eight".