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20928057696 = 25337132371163
BaseRepresentation
bin10011011111011010…
…001101000101100000
32000000111211111002000
4103133122031011200
5320330040321241
613340400524000
71340421361320
oct233732150540
960014744060
1020928057696
11896a385557
124080920600
131c86a461c0
141027667280
1582748aeb6
hex4df68d160

20928057696 has 768 divisors, whose sum is σ = 79984558080. Its totient is φ = 5173217280.

The previous prime is 20928057677. The next prime is 20928057701. The reversal of 20928057696 is 69675082902.

20928057696 is a `hidden beast` number, since 209 + 280 + 5 + 76 + 96 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 128392911 + ... + 128393073.

It is an arithmetic number, because the mean of its divisors is an integer number (104146560).

Almost surely, 220928057696 is an apocalyptic number.

20928057696 is a gapful number since it is divisible by the number (26) 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 20928057696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39992279040).

20928057696 is an abundant number, since it is smaller than the sum of its proper divisors (59056500384).

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

20928057696 is a wasteful number, since it uses less digits than its factorization.

20928057696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 20928057696 in words is "twenty billion, nine hundred twenty-eight million, fifty-seven thousand, six hundred ninety-six".