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20627066880 = 2123357732
BaseRepresentation
bin10011001101011110…
…000001000000000000
31222020112110120022000
4103031132001000000
5314221012120010
613250445344000
71330105114140
oct231536010000
958215416260
1020627066880
118825494712
123bb7b68000
131c3958c424
14dd96b6920
1580ad337c0
hex4cd781000

20627066880 has 624 divisors, whose sum is σ = 84971468160. Its totient is φ = 4650172416.

The previous prime is 20627066879. The next prime is 20627066893. The reversal of 20627066880 is 8866072602.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 282562524 + ... + 282562596.

Almost surely, 220627066880 is an apocalyptic number.

20627066880 is a gapful number since it is divisible by the number (20) 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 20627066880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42485734080).

20627066880 is an abundant number, since it is smaller than the sum of its proper divisors (64344401280).

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

20627066880 is an frugal number, since it uses more digits than its factorization.

20627066880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 20627066880 in words is "twenty billion, six hundred twenty-seven million, sixty-six thousand, eight hundred eighty".