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20793231360 = 211345114353
BaseRepresentation
bin10011010111010111…
…111000100000000000
31222200010010121010000
4103113113320200000
5320041031400420
613315143040000
71334163356526
oct232727704000
958603117100
1020793231360
118900267530
124043740000
131c64b2a9c5
1410137ac316
1581a707690
hex4d75f8800

20793231360 has 960 divisors, whose sum is σ = 84765320640. Its totient is φ = 4830658560.

The previous prime is 20793231353. The next prime is 20793231377. The reversal of 20793231360 is 6313239702.

20793231360 is a `hidden beast` number, since 207 + 93 + 2 + 3 + 1 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 392325094 + ... + 392325146.

It is an arithmetic number, because the mean of its divisors is an integer number (88297209).

Almost surely, 220793231360 is an apocalyptic number.

20793231360 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 20793231360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42382660320).

20793231360 is an abundant number, since it is smaller than the sum of its proper divisors (63972089280).

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

20793231360 is a wasteful number, since it uses less digits than its factorization.

20793231360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The spelling of 20793231360 in words is "twenty billion, seven hundred ninety-three million, two hundred thirty-one thousand, three hundred sixty".