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8642268360 = 23325116732573
BaseRepresentation
bin10000000110001111…
…01000110011001000
3211022021221201110100
420003013220303020
5120144410041420
63545321445400
7424110032445
oct100307506310
924267851410
108642268360
113735376150
121812340860
13a7961ab7b
145bdad49cc
15358ab7190
hex2031e8cc8

8642268360 has 192 divisors, whose sum is σ = 31099049280. Its totient is φ = 2063761920.

The previous prime is 8642268347. The next prime is 8642268361. The reversal of 8642268360 is 638622468.

8642268360 is a `hidden beast` number, since 8 + 64 + 226 + 8 + 360 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (8642268361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 249034 + ... + 281606.

It is an arithmetic number, because the mean of its divisors is an integer number (161974215).

Almost surely, 28642268360 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 8642268360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15549524640).

8642268360 is an abundant number, since it is smaller than the sum of its proper divisors (22456780920).

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

8642268360 is a wasteful number, since it uses less digits than its factorization.

8642268360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32668 (or 32661 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The square root of 8642268360 is about 92963.8013422429. The cubic root of 8642268360 is about 2052.1506962729.

The spelling of 8642268360 in words is "eight billion, six hundred forty-two million, two hundred sixty-eight thousand, three hundred sixty".