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20931930000 = 2432541713681
BaseRepresentation
bin10011011111101000…
…111110011110010000
32000000210010012212200
4103133220332132100
5320332033230000
613341015523200
71340466316662
oct233750763620
960023105780
1020931930000
11897158a903
124082089500
131c877a08c7
141027d94532
158279a3500
hex4dfa3e790

20931930000 has 300 divisors, whose sum is σ = 77513647068. Its totient is φ = 5253120000.

The previous prime is 20931929989. The next prime is 20931930001. The reversal of 20931930000 is 3913902.

It can be written as a sum of positive squares in 10 ways, for example, as 7815267216 + 13116662784 = 88404^2 + 114528^2 .

It is a tau number, because it is divible by the number of its divisors (300).

It is not an unprimeable number, because it can be changed into a prime (20931930001) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1523160 + ... + 1536840.

Almost surely, 220931930000 is an apocalyptic number.

20931930000 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 20931930000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38756823534).

20931930000 is an abundant number, since it is smaller than the sum of its proper divisors (56581717068).

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

20931930000 is a wasteful number, since it uses less digits than its factorization.

20931930000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13732 (or 13708 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The spelling of 20931930000 in words is "twenty billion, nine hundred thirty-one million, nine hundred thirty thousand".