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20669832000 = 2632531072683
BaseRepresentation
bin10011010000000001…
…001001101101000000
31222100111221021000100
4103100001021231000
5314312434111000
613255014122400
71331134446606
oct232001115500
958314837010
1020669832000
118847643794
12400a350400
131c453b372c
141001249876
1580e97ea00
hex4d0049b40

20669832000 has 336 divisors, whose sum is σ = 74658272832. Its totient is φ = 5458406400.

The previous prime is 20669831993. The next prime is 20669832013. The reversal of 20669832000 is 23896602.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 7702659 + ... + 7705341.

Almost surely, 220669832000 is an apocalyptic number.

20669832000 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 20669832000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37329136416).

20669832000 is an abundant number, since it is smaller than the sum of its proper divisors (53988440832).

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

20669832000 is a wasteful number, since it uses less digits than its factorization.

20669832000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2823 (or 2800 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 20669832000 in words is "twenty billion, six hundred sixty-nine million, eight hundred thirty-two thousand".