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20295991296 = 2143272532
BaseRepresentation
bin10010111001101111…
…000100000000000000
31221101110111011222100
4102321233010000000
5313031233210141
613153541310400
71315645036200
oct227157040000
957343434870
1020295991296
118675615729
123b25105400
131bb5b00c09
14da7734400
157dbc370b6
hex4b9bc4000

20295991296 has 405 divisors, whose sum is σ = 69514633461. Its totient is φ = 5689442304.

The previous prime is 20295991267. The next prime is 20295991321. The reversal of 20295991296 is 69219959202.

The square root of 20295991296 is 142464.

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

20295991296 is a `hidden beast` number, since 2 + 0 + 29 + 599 + 1 + 29 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 14631321600 + 5664669696 = 120960^2 + 75264^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 382943206 + ... + 382943258.

Almost surely, 220295991296 is an apocalyptic number.

20295991296 is the 142464-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20295991296

20295991296 is an abundant number, since it is smaller than the sum of its proper divisors (49218642165).

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

20295991296 is an frugal number, since it uses more digits than its factorization.

20295991296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 1574640, while the sum is 54.

The spelling of 20295991296 in words is "twenty billion, two hundred ninety-five million, nine hundred ninety-one thousand, two hundred ninety-six".