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20627258496 = 2731321916729
BaseRepresentation
bin10011001101011110…
…101111110010000000
31222020112211022010220
4103031132233302000
5314221034232441
613250453423040
71330106542605
oct231536576200
958215738126
1020627258496
118825605679
123bb803aa80
131c39628700
14dd97266ac
1580ad70466
hex4cd7afc80

20627258496 has 192 divisors, whose sum is σ = 62456436000. Its totient is φ = 6012444672.

The previous prime is 20627258489. The next prime is 20627258513. The reversal of 20627258496 is 69485272602.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1224660 + ... + 1241388.

Almost surely, 220627258496 is an apocalyptic number.

20627258496 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 20627258496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31228218000).

20627258496 is an abundant number, since it is smaller than the sum of its proper divisors (41829177504).

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

20627258496 is a wasteful number, since it uses less digits than its factorization.

20627258496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16791 (or 16766 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 51.

The spelling of 20627258496 in words is "twenty billion, six hundred twenty-seven million, two hundred fifty-eight thousand, four hundred ninety-six".