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20331217080 = 2335523199457
BaseRepresentation
bin10010111011110101…
…011100000010111000
31221110220202211200000
4102323311130002320
5313114242421310
613201240313000
71316553331236
oct227365340270
957426684600
1020331217080
118693495349
123b34a72760
131bc01b5685
14dac2a3956
157ded944c0
hex4bbd5c0b8

20331217080 has 384 divisors, whose sum is σ = 72019584000. Its totient is φ = 5148582912.

The previous prime is 20331217019. The next prime is 20331217087. The reversal of 20331217080 is 8071213302.

20331217080 is a `hidden beast` number, since 203 + 312 + 1 + 70 + 80 = 666.

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 (20331217087) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44488212 + ... + 44488668.

It is an arithmetic number, because the mean of its divisors is an integer number (187551000).

Almost surely, 220331217080 is an apocalyptic number.

20331217080 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 20331217080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36009792000).

20331217080 is an abundant number, since it is smaller than the sum of its proper divisors (51688366920).

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

20331217080 is a wasteful number, since it uses less digits than its factorization.

20331217080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 20331217080 in words is "twenty billion, three hundred thirty-one million, two hundred seventeen thousand, eighty".