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20001996000 = 25325372172329
BaseRepresentation
bin10010101000001101…
…100011110011100000
31220121222021200020200
4102220031203303200
5311431002333000
613104440105200
71305445106100
oct225015436340
956558250220
1020001996000
118534672708
123a62765200
131b69c262bc
14d7a685200
157c1012500
hex4a8363ce0

20001996000 has 1728 divisors, whose sum is σ = 94381822080. Its totient is φ = 3973939200.

The previous prime is 20001995969. The next prime is 20001996011. The reversal of 20001996000 is 69910002.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 689723986 + ... + 689724014.

It is an arithmetic number, because the mean of its divisors is an integer number (54619110).

Almost surely, 220001996000 is an apocalyptic number.

20001996000 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 20001996000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47190911040).

20001996000 is an abundant number, since it is smaller than the sum of its proper divisors (74379826080).

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

20001996000 is a wasteful number, since it uses less digits than its factorization.

20001996000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The spelling of 20001996000 in words is "twenty billion, one million, nine hundred ninety-six thousand".