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6341220864 = 293311217223
BaseRepresentation
bin1011110011111011…
…10101101000000000
3121100221010101201000
411321331311220000
5100441323031424
62525122212000
7313066326246
oct57175655000
917327111630
106341220864
1127644aa100
12128b7b4000
137a0999cc4
14442272796
15271a8a3c9
hex179f75a00

6341220864 has 480 divisors, whose sum is σ = 21943595520. Its totient is φ = 1800437760.

The previous prime is 6341220863. The next prime is 6341220937. The reversal of 6341220864 is 4680221436.

6341220864 is a `hidden beast` number, since 634 + 12 + 2 + 0 + 8 + 6 + 4 = 666.

It is a super-2 number, since 2×63412208642 = 80422164092057812992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (6341220863) 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 47 ways as a sum of consecutive naturals, for example, 28435857 + ... + 28436079.

It is an arithmetic number, because the mean of its divisors is an integer number (45715824).

Almost surely, 26341220864 is an apocalyptic number.

6341220864 is a gapful number since it is divisible by the number (64) 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 6341220864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10971797760).

6341220864 is an abundant number, since it is smaller than the sum of its proper divisors (15602374656).

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

6341220864 is a wasteful number, since it uses less digits than its factorization.

6341220864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 6341220864 is about 79631.7830015127. The cubic root of 6341220864 is about 1850.9341144799.

The spelling of 6341220864 in words is "six billion, three hundred forty-one million, two hundred twenty thousand, eight hundred sixty-four".