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20337875712 = 2833721153103
BaseRepresentation
bin10010111100001110…
…110101101100000000
31221111101022010121000
4102330032311230000
5313122444010322
613202035132000
71316664043200
oct227416655400
957441263530
1020337875712
118697223050
123b37144000
131bc16a73ab
14dad118400
157e075c3ac
hex4bc3b5b00

20337875712 has 864 divisors, whose sum is σ = 78517071360. Its totient is φ = 5132574720.

The previous prime is 20337875689. The next prime is 20337875749. The reversal of 20337875712 is 21757873302.

It is a happy number.

20337875712 is a `hidden beast` number, since 2 + 0 + 3 + 3 + 78 + 7 + 571 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 197455053 + ... + 197455155.

It is an arithmetic number, because the mean of its divisors is an integer number (90876240).

Almost surely, 220337875712 is an apocalyptic number.

20337875712 is a gapful number since it is divisible by the number (22) 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 20337875712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39258535680).

20337875712 is an abundant number, since it is smaller than the sum of its proper divisors (58179195648).

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

20337875712 is a wasteful number, since it uses less digits than its factorization.

20337875712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The spelling of 20337875712 in words is "twenty billion, three hundred thirty-seven million, eight hundred seventy-five thousand, seven hundred twelve".