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52605808992 = 2534112414091
BaseRepresentation
bin110000111111100011…
…001111000101100000
312000210012002222120000
4300333203033011200
51330214041341432
640100005020000
73541422666342
oct607743170540
9160705088500
1052605808992
1120345675a00
12a2416b4600
134c64897a39
142790845292
15157d52157c
hexc3f8cf160

52605808992 has 360 divisors, whose sum is σ = 174245863176. Its totient is φ = 15548544000.

The previous prime is 52605808987. The next prime is 52605808999. The reversal of 52605808992 is 29980850625.

52605808992 is a `hidden beast` number, since 52 + 6 + 0 + 580 + 8 + 9 + 9 + 2 = 666.

52605808992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×526058089922 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52605808999) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 12856867 + ... + 12860957.

Almost surely, 252605808992 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 52605808992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87122931588).

52605808992 is an abundant number, since it is smaller than the sum of its proper divisors (121640054184).

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

52605808992 is a wasteful number, since it uses less digits than its factorization.

52605808992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4176 (or 4148 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 52605808992 in words is "fifty-two billion, six hundred five million, eight hundred eight thousand, nine hundred ninety-two".