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20468598912 = 273437229233
BaseRepresentation
bin10011000100000001…
…100000100010000000
31221211111021120010000
4103010001200202000
5313404430131122
613223025040000
71323142135326
oct230401404200
957744246100
1020468598912
118753a99353
123b72a86000
131c127b70b8
14dc2625d16
157ebe800ac
hex4c4060880

20468598912 has 320 divisors, whose sum is σ = 63103411800. Its totient is φ = 6581108736.

The previous prime is 20468598907. The next prime is 20468598923. The reversal of 20468598912 is 21989586402.

It is a happy number.

20468598912 is a `hidden beast` number, since 2 + 0 + 46 + 8 + 598 + 9 + 1 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 20384986176 + 83612736 = 142776^2 + 9144^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 87847948 + ... + 87848180.

Almost surely, 220468598912 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20468598912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31551705900).

20468598912 is an abundant number, since it is smaller than the sum of its proper divisors (42634812888).

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

20468598912 is a wasteful number, since it uses less digits than its factorization.

20468598912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 20468598912 in words is "twenty billion, four hundred sixty-eight million, five hundred ninety-eight thousand, nine hundred twelve".