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20657427570 = 23551319127271
BaseRepresentation
bin10011001111010001…
…110101010001110010
31222022122121001100000
4103033101311101302
5314301300140240
613253452210430
71330624144233
oct231721652162
958278531300
1020657427570
11884064109a
124006169a16
131c4295c630
14ddd73b08a
1580d82e430
hex4cf475472

20657427570 has 384 divisors, whose sum is σ = 63872040960. Its totient is φ = 4761711360.

The previous prime is 20657427563. The next prime is 20657427611. The reversal of 20657427570 is 7572475602.

20657427570 is a `hidden beast` number, since 2 + 0 + 6 + 5 + 74 + 2 + 7 + 570 = 666.

It is a super-2 number, since 2×206574275702 (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 76226535 + ... + 76226805.

It is an arithmetic number, because the mean of its divisors is an integer number (166333440).

Almost surely, 220657427570 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20657427570, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31936020480).

20657427570 is an abundant number, since it is smaller than the sum of its proper divisors (43214613390).

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

20657427570 is a wasteful number, since it uses less digits than its factorization.

20657427570 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 823200, while the sum is 45.

The spelling of 20657427570 in words is "twenty billion, six hundred fifty-seven million, four hundred twenty-seven thousand, five hundred seventy".