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20029679160 = 23351937415791
BaseRepresentation
bin10010101001110111…
…001010011000111000
31220200220101010101220
4102221313022120320
5312010044213120
613111305312040
71306232315031
oct225167123070
956626333356
1020029679160
118549260457
123a6ba95620
131b7289987a
14d8020da88
157c367eb40
hex4a9dca638

20029679160 has 256 divisors, whose sum is σ = 66557030400. Its totient is φ = 4802457600.

The previous prime is 20029679093. The next prime is 20029679167. The reversal of 20029679160 is 6197692002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20029679167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3455865 + ... + 3461655.

It is an arithmetic number, because the mean of its divisors is an integer number (259988400).

Almost surely, 220029679160 is an apocalyptic number.

20029679160 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 20029679160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33278515200).

20029679160 is an abundant number, since it is smaller than the sum of its proper divisors (46527351240).

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

20029679160 is a wasteful number, since it uses less digits than its factorization.

20029679160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5902 (or 5898 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 42.

The spelling of 20029679160 in words is "twenty billion, twenty-nine million, six hundred seventy-nine thousand, one hundred sixty".