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20295297792 = 283571119223
BaseRepresentation
bin10010111001101100…
…011010101100000000
31221101102011221200000
4102321230122230000
5313031044012132
613153514400000
71315636120260
oct227154325400
957342157600
1020295297792
118675191690
123b24a30000
131bb591a363
14da75d37a0
157dbb4b87c
hex4b9b1ab00

20295297792 has 864 divisors, whose sum is σ = 79996600320. Its totient is φ = 4971663360.

The previous prime is 20295297733. The next prime is 20295297793. The reversal of 20295297792 is 29779259202.

20295297792 is a `hidden beast` number, since 2 + 0 + 29 + 529 + 7 + 7 + 92 = 666.

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

It is a super-2 number, since 2×202952977922 (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (20295297793) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 91010193 + ... + 91010415.

Almost surely, 220295297792 is an apocalyptic number.

20295297792 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 20295297792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39998300160).

20295297792 is an abundant number, since it is smaller than the sum of its proper divisors (59701302528).

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

20295297792 is a wasteful number, since it uses less digits than its factorization.

20295297792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The spelling of 20295297792 in words is "twenty billion, two hundred ninety-five million, two hundred ninety-seven thousand, seven hundred ninety-two".