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20001758832 = 24321128811303
BaseRepresentation
bin10010101000001100…
…101001111001110000
31220121221211121220200
4102220030221321300
5311430422240312
613104431035200
71305443100456
oct225014517160
956557747820
1020001758832
118534520500
123a6266bb00
131b69b72373
14d7a6229d6
157c0eb70dc
hex4a8329e70

20001758832 has 180 divisors, whose sum is σ = 61645710672. Its totient is φ = 6049612800.

The previous prime is 20001758797. The next prime is 20001758873. The reversal of 20001758832 is 23885710002.

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 polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15349893 + ... + 15351195.

Almost surely, 220001758832 is an apocalyptic number.

20001758832 is a gapful number since it is divisible by the number (22) 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 20001758832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30822855336).

20001758832 is an abundant number, since it is smaller than the sum of its proper divisors (41643951840).

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

20001758832 is a wasteful number, since it uses less digits than its factorization.

20001758832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2220 (or 2200 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 20001758832 in words is "twenty billion, one million, seven hundred fifty-eight thousand, eight hundred thirty-two".