Search a number
-
+
64490356224 = 293374211583
BaseRepresentation
bin111100000011111011…
…001011111000000000
320011110102222112111000
4330003323023320000
52024034012344344
645343152052000
74442062661160
oct740373137000
9204412875430
1064490356224
1125394141168
12105b9834000
136109b382c8
14319adac5a0
151a26a88a69
hexf03ecbe00

64490356224 has 320 divisors, whose sum is σ = 218823137280. Its totient is φ = 18370437120.

The previous prime is 64490356193. The next prime is 64490356243. The reversal of 64490356224 is 42265309446.

64490356224 is a `hidden beast` number, since 64 + 4 + 9 + 0 + 3 + 562 + 24 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 64490356224.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 40738537 + ... + 40740119.

It is an arithmetic number, because the mean of its divisors is an integer number (683822304).

Almost surely, 264490356224 is an apocalyptic number.

64490356224 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 64490356224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109411568640).

64490356224 is an abundant number, since it is smaller than the sum of its proper divisors (154332781056).

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

64490356224 is a wasteful number, since it uses less digits than its factorization.

64490356224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2038 (or 2016 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 64490356224 in words is "sixty-four billion, four hundred ninety million, three hundred fifty-six thousand, two hundred twenty-four".