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20159456256 = 21034172292
BaseRepresentation
bin10010110001100110…
…001110010000000000
31221000221120111010000
4102301212032100000
5312241310100011
613132223040000
71312366356642
oct226146162000
957027514100
1020159456256
11860553a955
123aa7440000
131b93737a54
14d93552892
157cec67356
hex4b198e400

20159456256 has 495 divisors, whose sum is σ = 66230760739. Its totient is φ = 6106447872.

The previous prime is 20159456243. The next prime is 20159456257. The reversal of 20159456256 is 65265495102.

The square root of 20159456256 is 141984.

It is a perfect power (a square), and thus also a powerful number.

20159456256 is a `hidden beast` number, since 2 + 0 + 1 + 594 + 5 + 6 + 2 + 56 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1992729600 + 18166726656 = 44640^2 + 134784^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20159456257) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 695153650 + ... + 695153678.

Almost surely, 220159456256 is an apocalyptic number.

20159456256 is the 141984-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20159456256

20159456256 is an abundant number, since it is smaller than the sum of its proper divisors (46071304483).

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

20159456256 is an equidigital number, since it uses as much as digits as its factorization.

20159456256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 20159456256 in words is "twenty billion, one hundred fifty-nine million, four hundred fifty-six thousand, two hundred fifty-six".