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6612230064 = 24311314159167
BaseRepresentation
bin1100010100001111…
…01001111110110000
3122001211002002102210
412022013221332300
5102020212330224
63012043012120
7322600012446
oct61207517660
918054062383
106612230064
112893482350
12134650a040
13814b8728b
1446a25ab96
1528a76e429
hex18a1e9fb0

6612230064 has 320 divisors, whose sum is σ = 20158709760. Its totient is φ = 1848576000.

The previous prime is 6612230041. The next prime is 6612230069. The reversal of 6612230064 is 4600322166.

It is not an unprimeable number, because it can be changed into a prime (6612230069) 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 63 ways as a sum of consecutive naturals, for example, 39594109 + ... + 39594275.

It is an arithmetic number, because the mean of its divisors is an integer number (62995968).

Almost surely, 26612230064 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 6612230064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10079354880).

6612230064 is an abundant number, since it is smaller than the sum of its proper divisors (13546479696).

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

6612230064 is a wasteful number, since it uses less digits than its factorization.

6612230064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 6612230064 is about 81315.6200492870. The cubic root of 6612230064 is about 1876.9353706587.

The spelling of 6612230064 in words is "six billion, six hundred twelve million, two hundred thirty thousand, sixty-four".