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6444290920 = 235161107273
BaseRepresentation
bin1100000000001110…
…00001001101101000
3121122010001220020111
412000013001031220
5101144214302140
62543243304104
7315460366114
oct60007011550
917563056214
106444290920
1128076a8171
1212ba21b034
137b9146cc2
14451c22744
1527ab497ea
hex1801c1368

6444290920 has 16 divisors (see below), whose sum is σ = 14499654660. Its totient is φ = 2577716352.

The previous prime is 6444290911. The next prime is 6444290927. The reversal of 6444290920 is 290924446.

It can be written as a sum of positive squares in 2 ways, for example, as 6432360804 + 11930116 = 80202^2 + 3454^2 .

It is a Harshad number since it is a multiple of its sum of digits (40), and also a Moran number because the ratio is a prime number: 161107273 = 6444290920 / (6 + 4 + 4 + 4 + 2 + 9 + 0 + 9 + 2 + 0).

It is not an unprimeable number, because it can be changed into a prime (6444290927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 80553597 + ... + 80553676.

Almost surely, 26444290920 is an apocalyptic number.

It is an amenable number.

6444290920 is an abundant number, since it is smaller than the sum of its proper divisors (8055363740).

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

6444290920 is a wasteful number, since it uses less digits than its factorization.

6444290920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161107284 (or 161107280 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 40.

The square root of 6444290920 is about 80276.3409729168. The cubic root of 6444290920 is about 1860.9086129925.

The spelling of 6444290920 in words is "six billion, four hundred forty-four million, two hundred ninety thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 161107273 322214546 644429092 805536365 1288858184 1611072730 3222145460 6444290920