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8527472640 = 21135523149
BaseRepresentation
bin1111111000100011…
…01110100000000000
3211000021221111100000
413330101232200000
5114431013111030
63530101200000
7421214215161
oct77421564000
924007844300
108527472640
113686599455
12179ba00000
13a5b8c69cb
145ac771768
1534d98d860
hex1fc46e800

8527472640 has 576 divisors, whose sum is σ = 32196528000. Its totient is φ = 2160525312.

The previous prime is 8527472627. The next prime is 8527472687. The reversal of 8527472640 is 462747258.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57231286 + ... + 57231434.

It is an arithmetic number, because the mean of its divisors is an integer number (55896750).

Almost surely, 28527472640 is an apocalyptic number.

8527472640 is a gapful number since it is divisible by the number (80) 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 8527472640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16098264000).

8527472640 is an abundant number, since it is smaller than the sum of its proper divisors (23669055360).

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

8527472640 is a wasteful number, since it uses less digits than its factorization.

8527472640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The square root of 8527472640 is about 92344.3156886227. The cubic root of 8527472640 is about 2043.0238891810.

The spelling of 8527472640 in words is "eight billion, five hundred twenty-seven million, four hundred seventy-two thousand, six hundred forty".