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8064593472 = 26313219103127
BaseRepresentation
bin1111000001010111…
…11110111001000000
3202211000221210111010
413200223332321000
5113004013442342
63412124120520
7403563625215
oct74053767100
922730853433
108064593472
113469286491
121690996140
139b6a3ab00
145670bdb0c
1532300929c
hex1e0afee40

8064593472 has 336 divisors, whose sum is σ = 24750735360. Its totient is φ = 2309658624.

The previous prime is 8064593461. The next prime is 8064593479. The reversal of 8064593472 is 2743954608.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8064593479) 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, 63500673 + ... + 63500799.

Almost surely, 28064593472 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 8064593472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12375367680).

8064593472 is an abundant number, since it is smaller than the sum of its proper divisors (16686141888).

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

8064593472 is a wasteful number, since it uses less digits than its factorization.

8064593472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The square root of 8064593472 is about 89803.0816397745. The cubic root of 8064593472 is about 2005.3683667598.

The spelling of 8064593472 in words is "eight billion, sixty-four million, five hundred ninety-three thousand, four hundred seventy-two".