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6400550016 = 2736741239
BaseRepresentation
bin1011111011000000…
…01010010010000000
3121112001202122000000
411331200022102000
5101102020100031
62535042000000
7314416530450
oct57540122200
917461678000
106400550016
112794a41a63
1212a7646000
137b0070803
1444a0b7d60
15276da93e6
hex17d80a480

6400550016 has 448 divisors, whose sum is σ = 22475577600. Its totient is φ = 1776660480.

The previous prime is 6400550011. The next prime is 6400550017. The reversal of 6400550016 is 6100550046.

It is a happy number.

6400550016 is a `hidden beast` number, since 640 + 0 + 5 + 5 + 0 + 0 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (6400550011) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 26780425 + ... + 26780663.

It is an arithmetic number, because the mean of its divisors is an integer number (50168700).

Almost surely, 26400550016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6400550016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11237788800).

6400550016 is an abundant number, since it is smaller than the sum of its proper divisors (16075027584).

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

6400550016 is an equidigital number, since it uses as much as digits as its factorization.

6400550016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 6400550016 is about 80003.4375261463. The cubic root of 6400550016 is about 1856.6887183408.

The spelling of 6400550016 in words is "six billion, four hundred million, five hundred fifty thousand, sixteen".