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52540812000 = 253453179539
BaseRepresentation
bin110000111011101011…
…010010101011100000
312000121122210210110000
4300323223102223200
51330100421441000
640045323540000
73540003350625
oct607353225340
9160548723400
1052540812000
1120311a11786
12a22398a600
134c5428b491
142785d6634c
151577983000
hexc3bad2ae0

52540812000 has 480 divisors, whose sum is σ = 204207363360. Its totient is φ = 13185331200.

The previous prime is 52540811971. The next prime is 52540812011. The reversal of 52540812000 is 21804525.

It is a happy number.

52540812000 is a `hidden beast` number, since 52 + 5 + 408 + 1 + 200 + 0 = 666.

52540812000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5503231 + ... + 5512769.

It is an arithmetic number, because the mean of its divisors is an integer number (425432007).

Almost surely, 252540812000 is an apocalyptic number.

52540812000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52540812000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102103681680).

52540812000 is an abundant number, since it is smaller than the sum of its proper divisors (151666551360).

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

52540812000 is a wasteful number, since it uses less digits than its factorization.

52540812000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9593 (or 9566 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The spelling of 52540812000 in words is "fifty-two billion, five hundred forty million, eight hundred twelve thousand".