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20127000978 = 232721722812
BaseRepresentation
bin10010101111101010…
…011010100110010010
31220221200111120211200
4102233222122212102
5312210003012403
613125103252030
71311523454100
oct225752324622
956850446750
1020127000978
118599192807
123a985aa016
131b89ab3346
14d8d104c70
157cbea5ca3
hex4afa9a992

20127000978 has 162 divisors, whose sum is σ = 54080257023. Its totient is φ = 5393041920.

The previous prime is 20127000967. The next prime is 20127000997. The reversal of 20127000978 is 87900072102.

It can be written as a sum of positive squares in 5 ways, for example, as 18250118649 + 1876882329 = 135093^2 + 43323^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=100317.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 71626198 + ... + 71626478.

Almost surely, 220127000978 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20127000978

20127000978 is an abundant number, since it is smaller than the sum of its proper divisors (33953256045).

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

20127000978 is a wasteful number, since it uses less digits than its factorization.

20127000978 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

Multiplying 20127000978 by its product of nonzero digits (14112), we get a square (284032237801536 = 168532562).

The spelling of 20127000978 in words is "twenty billion, one hundred twenty-seven million, nine hundred seventy-eight", and thus it is an aban number.