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20683289088 = 293571117127
BaseRepresentation
bin10011010000110100…
…011111001000000000
31222101110020221200000
4103100310133020000
5314324410222323
613300214400000
71331360025240
oct232064371000
958343227600
1020683289088
1188541a5250
124012960000
131c481159c7
141002d4db20
15810c3be43
hex4d0d1f200

20683289088 has 960 divisors, whose sum is σ = 82362728448. Its totient is φ = 5016453120.

The previous prime is 20683289087. The next prime is 20683289113. The reversal of 20683289088 is 88098238602.

20683289088 is a `hidden beast` number, since 206 + 83 + 289 + 0 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20683289083) by changing a digit.

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, 162860481 + ... + 162860607.

Almost surely, 220683289088 is an apocalyptic number.

20683289088 is a gapful number since it is divisible by the number (28) 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 20683289088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41181364224).

20683289088 is an abundant number, since it is smaller than the sum of its proper divisors (61679439360).

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

20683289088 is a wasteful number, since it uses less digits than its factorization.

20683289088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 20683289088 in words is "twenty billion, six hundred eighty-three million, two hundred eighty-nine thousand, eighty-eight".