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20313895680 = 28325131779101
BaseRepresentation
bin10010111010110011…
…010111001100000000
31221102201011211011200
4102322303113030000
5313100324130210
613155421141200
71316253156441
oct227263271400
957381154150
1020313895680
118684734541
123b2b0ba800
131bb972c520
14da9c752c8
157dd5c20c0
hex4bacd7300

20313895680 has 864 divisors, whose sum is σ = 81960802560. Its totient is φ = 4600627200.

The previous prime is 20313895643. The next prime is 20313895741. The reversal of 20313895680 is 8659831302.

It is a happy number.

20313895680 is a `hidden beast` number, since 2 + 0 + 3 + 1 + 3 + 89 + 568 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 201127630 + ... + 201127730.

It is an arithmetic number, because the mean of its divisors is an integer number (94862040).

Almost surely, 220313895680 is an apocalyptic number.

20313895680 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 20313895680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40980401280).

20313895680 is an abundant number, since it is smaller than the sum of its proper divisors (61646906880).

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

20313895680 is a wasteful number, since it uses less digits than its factorization.

20313895680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 20313895680 in words is "twenty billion, three hundred thirteen million, eight hundred ninety-five thousand, six hundred eighty".