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20471664600 = 2334525932131
BaseRepresentation
bin10011000100001101…
…001100111111011000
31221211201001022110000
4103010031030333120
5313411221231400
613223214453000
71323210164232
oct230415147730
957751038400
1020471664600
1187557a2682
123b73b04160
131c1331b60a
14dc2bc3252
157ec388600
hex4c434cfd8

20471664600 has 240 divisors, whose sum is σ = 71254446120. Its totient is φ = 5447347200.

The previous prime is 20471664583. The next prime is 20471664623. The reversal of 20471664600 is 646617402.

20471664600 is a `hidden beast` number, since 2 + 0 + 4 + 7 + 1 + 6 + 646 + 0 + 0 = 666.

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 (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 9605535 + ... + 9607665.

Almost surely, 220471664600 is an apocalyptic number.

20471664600 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 20471664600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35627223060).

20471664600 is an abundant number, since it is smaller than the sum of its proper divisors (50782781520).

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

20471664600 is a wasteful number, since it uses less digits than its factorization.

20471664600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2752 (or 2734 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 20471664600 in words is "twenty billion, four hundred seventy-one million, six hundred sixty-four thousand, six hundred".