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52202245920 = 2535113101809
BaseRepresentation
bin110000100111011111…
…110000111100100000
311222202001201212002120
4300213133300330200
51323402233332140
635551551144240
73525422524536
oct604737607440
9158661655076
1052202245920
1120158897000
12a14a515080
134bcc0a9716
142752dd4156
151557da71d0
hexc277f0f20

52202245920 has 384 divisors, whose sum is σ = 182884988160. Its totient is φ = 12514304000.

The previous prime is 52202245919. The next prime is 52202246023. The reversal of 52202245920 is 2954220225.

It is a happy number.

52202245920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 64526476 + ... + 64527284.

It is an arithmetic number, because the mean of its divisors is an integer number (476262990).

Almost surely, 252202245920 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 52202245920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91442494080).

52202245920 is an abundant number, since it is smaller than the sum of its proper divisors (130682742240).

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

52202245920 is a wasteful number, since it uses less digits than its factorization.

52202245920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 961 (or 931 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The spelling of 52202245920 in words is "fifty-two billion, two hundred two million, two hundred forty-five thousand, nine hundred twenty".