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20273020768 = 25711134911289
BaseRepresentation
bin10010111000010111…
…011011111101100000
31221022212021011100001
4102320113123331200
5313004343131033
613151401105344
71315245555550
oct227027337540
957285234301
1020273020768
118663656620
123b19488254
131bb111a6a0
14da4675160
157d9beae7d
hex4b85dbf60

20273020768 has 192 divisors, whose sum is σ = 53739624960. Its totient is φ = 7270502400.

The previous prime is 20273020759. The next prime is 20273020787. The reversal of 20273020768 is 86702037202.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15727068 + ... + 15728356.

It is an arithmetic number, because the mean of its divisors is an integer number (279893880).

Almost surely, 220273020768 is an apocalyptic number.

20273020768 is a gapful number since it is divisible by the number (28) 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 20273020768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26869812480).

20273020768 is an abundant number, since it is smaller than the sum of its proper divisors (33466604192).

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

20273020768 is a wasteful number, since it uses less digits than its factorization.

20273020768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1821 (or 1813 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 37.

The spelling of 20273020768 in words is "twenty billion, two hundred seventy-three million, twenty thousand, seven hundred sixty-eight".