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20896911360 = 212355131719
BaseRepresentation
bin10011011101100011…
…011001000000000000
31222221100020002100000
4103131203121000000
5320244102130420
613333325200000
71336562546553
oct233543310000
958840202300
1020896911360
118953841886
124072400000
131c8045c510
14102347a69a
15824887690
hex4dd8d9000

20896911360 has 1248 divisors, whose sum is σ = 90161285760. Its totient is φ = 4586471424.

The previous prime is 20896911313. The next prime is 20896911419. The reversal of 20896911360 is 6311969802.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1248).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1099837431 + ... + 1099837449.

It is an arithmetic number, because the mean of its divisors is an integer number (72244620).

Almost surely, 220896911360 is an apocalyptic number.

20896911360 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 20896911360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45080642880).

20896911360 is an abundant number, since it is smaller than the sum of its proper divisors (69264374400).

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

20896911360 is a wasteful number, since it uses less digits than its factorization.

20896911360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 20896911360 in words is "twenty billion, eight hundred ninety-six million, nine hundred eleven thousand, three hundred sixty".