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20527395840 = 21035572357
BaseRepresentation
bin10011000111100001…
…110011010000000000
31221222120220202100000
4103013201303100000
5314020003131330
613232525200000
71324454662050
oct230741632000
957876822300
1020527395840
1187841a8356
123b8a700000
131c21a32593
14dca36d560
158021e6560
hex4c7873400

20527395840 has 528 divisors, whose sum is σ = 84334303872. Its totient is φ = 4689985536.

The previous prime is 20527395809. The next prime is 20527395893. The reversal of 20527395840 is 4859372502.

20527395840 is a `hidden beast` number, since 2 + 0 + 527 + 39 + 58 + 40 = 666.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8707942 + ... + 8710298.

Almost surely, 220527395840 is an apocalyptic number.

20527395840 is a gapful number since it is divisible by the number (20) 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 20527395840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42167151936).

20527395840 is an abundant number, since it is smaller than the sum of its proper divisors (63806908032).

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

20527395840 is an equidigital number, since it uses as much as digits as its factorization.

20527395840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2404 (or 2374 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 20527395840 in words is "twenty billion, five hundred twenty-seven million, three hundred ninety-five thousand, eight hundred forty".