Search a number
-
+
52168451328 = 2833722337181
BaseRepresentation
bin110000100101011110…
…110110010100000000
311222122201010220122000
4300211132312110000
51323320110420303
635544342544000
73524532343200
oct604536662400
9158581126560
1052168451328
1120140804694
12a13b138000
134bc50a6516
14274c718400
151554e2dda3
hexc257b6500

52168451328 has 864 divisors, whose sum is σ = 193384638720. Its totient is φ = 13795246080.

The previous prime is 52168451311. The next prime is 52168451329. The reversal of 52168451328 is 82315486125.

52168451328 is a `hidden beast` number, since 5 + 2 + 168 + 451 + 32 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52168451329) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 288223398 + ... + 288223578.

Almost surely, 252168451328 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 52168451328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96692319360).

52168451328 is an abundant number, since it is smaller than the sum of its proper divisors (141216187392).

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

52168451328 is a wasteful number, since it uses less digits than its factorization.

52168451328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 253 counting only the distinct ones).

The product of its digits is 460800, while the sum is 45.

The spelling of 52168451328 in words is "fifty-two billion, one hundred sixty-eight million, four hundred fifty-one thousand, three hundred twenty-eight".