Search a number
-
+
6664522870368 = 253411247597997
BaseRepresentation
bin110000011111011010010…
…0001001010111001100000
3212121010022001120000220000
41200332310201022321200
51333142420323322433
622101350050220000
71255332042466656
oct140766441127140
925533261500800
106664522870368
11213a454464500
128b7767284600
1339460079aa2c
141907c94a6dd6
15b855d663113
hex60fb484ae60

6664522870368 has 1440 divisors, whose sum is σ = 22892125132800. Its totient is φ = 1898707599360.

The previous prime is 6664522870361. The next prime is 6664522870373. The reversal of 6664522870368 is 8630782254666.

It is a happy number.

It is a super-3 number, since 3×66645228703683 (a number of 39 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6664522870361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 68706421296 + ... + 68706421392.

It is an arithmetic number, because the mean of its divisors is an integer number (15897309120).

Almost surely, 26664522870368 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 6664522870368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11446062566400).

6664522870368 is an abundant number, since it is smaller than the sum of its proper divisors (16227602262432).

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

6664522870368 is a wasteful number, since it uses less digits than its factorization.

6664522870368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 63.

The spelling of 6664522870368 in words is "six trillion, six hundred sixty-four billion, five hundred twenty-two million, eight hundred seventy thousand, three hundred sixty-eight".