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20312182080 = 2634517311487
BaseRepresentation
bin10010111010101100…
…110100110101000000
31221102120221202120000
4102322230310311000
5313044404311310
613155320320000
71316232461511
oct227254646500
957376852500
1020312182080
118683774043
123b2a613000
131bb927c568
14da994aa08
157dd3844c0
hex4bab34d40

20312182080 has 560 divisors, whose sum is σ = 79025227776. Its totient is φ = 4930191360.

The previous prime is 20312182019. The next prime is 20312182087. The reversal of 20312182080 is 8028121302.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20312182087) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 13659097 + ... + 13660583.

Almost surely, 220312182080 is an apocalyptic number.

20312182080 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 20312182080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39512613888).

20312182080 is an abundant number, since it is smaller than the sum of its proper divisors (58713045696).

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

20312182080 is a wasteful number, since it uses less digits than its factorization.

20312182080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1564 (or 1545 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The spelling of 20312182080 in words is "twenty billion, three hundred twelve million, one hundred eighty-two thousand, eighty".