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20731939200 = 273352725983
BaseRepresentation
bin10011010011101110…
…000100100110000000
31222111211210122002000
4103103232010212000
5314424334023300
613305113224000
71332520401300
oct232356044600
958454718060
1020731939200
118879703855
124027102000
131c5521a85b
1410095b5600
1581514bc00
hex4d3b84980

20731939200 has 1152 divisors, whose sum is σ = 90837936000. Its totient is φ = 4602286080.

The previous prime is 20731939199. The next prime is 20731939211. The reversal of 20731939200 is 293913702.

It is a tau number, because it is divible by the number of its divisors (1152).

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 143 ways as a sum of consecutive naturals, for example, 249782359 + ... + 249782441.

It is an arithmetic number, because the mean of its divisors is an integer number (78852375).

Almost surely, 220731939200 is an apocalyptic number.

20731939200 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 20731939200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45418968000).

20731939200 is an abundant number, since it is smaller than the sum of its proper divisors (70105996800).

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

20731939200 is a wasteful number, since it uses less digits than its factorization.

20731939200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The spelling of 20731939200 in words is "twenty billion, seven hundred thirty-one million, nine hundred thirty-nine thousand, two hundred".