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20031439104 = 283347197313
BaseRepresentation
bin10010101001111101…
…111000000100000000
31220201000200112121000
4102221331320010000
5312011022022404
613111411132000
71306253265045
oct225175700400
956630615530
1020031439104
11854a252756
123a705a4000
131b73064961
14d8054b1cc
157c38cb339
hex4a9f78100

20031439104 has 288 divisors, whose sum is σ = 60998192640. Its totient is φ = 6481133568.

The previous prime is 20031439097. The next prime is 20031439121. The reversal of 20031439104 is 40193413002.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63998052 + ... + 63998364.

It is an arithmetic number, because the mean of its divisors is an integer number (211799280).

Almost surely, 220031439104 is an apocalyptic number.

20031439104 is a gapful number since it is divisible by the number (24) 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 20031439104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30499096320).

20031439104 is an abundant number, since it is smaller than the sum of its proper divisors (40966753536).

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

20031439104 is a wasteful number, since it uses less digits than its factorization.

20031439104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 20031439104 in words is "twenty billion, thirty-one million, four hundred thirty-nine thousand, one hundred four".