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20695112928 = 25337173143151
BaseRepresentation
bin10011010001100001…
…100101110011100000
31222102021111122221000
4103101201211303200
5314340422103203
613301320032000
71331562362130
oct232141456340
958367448830
1020695112928
11885a940716
124016902600
131c4a6c5769
14100474aac0
15811cc54a3
hex4d1865ce0

20695112928 has 768 divisors, whose sum is σ = 77662126080. Its totient is φ = 5225472000.

The previous prime is 20695112917. The next prime is 20695112941. The reversal of 20695112928 is 82921159602.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 137053653 + ... + 137053803.

It is an arithmetic number, because the mean of its divisors is an integer number (101122560).

Almost surely, 220695112928 is an apocalyptic number.

20695112928 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 20695112928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38831063040).

20695112928 is an abundant number, since it is smaller than the sum of its proper divisors (56967013152).

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

20695112928 is a wasteful number, since it uses less digits than its factorization.

20695112928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 20695112928 in words is "twenty billion, six hundred ninety-five million, one hundred twelve thousand, nine hundred twenty-eight".