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8199999918 = 232114173101137
BaseRepresentation
bin1111010001100001…
…00001000110101110
3210011110202011012200
413220300201012232
5113243144444133
63433402242330
7410126564205
oct75060410656
923143664180
108199999918
113528760340
12170a1b63a6
13a08aca376
1457b08a23c
1532ed54913
hex1e8c211ae

8199999918 has 192 divisors, whose sum is σ = 20474161344. Its totient is φ = 2350080000.

The previous prime is 8199999883. The next prime is 8199999919.

8199999918 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8199999919) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 59853946 + ... + 59854082.

It is an arithmetic number, because the mean of its divisors is an integer number (106636257).

Almost surely, 28199999918 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8199999918, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10237080672).

8199999918 is an abundant number, since it is smaller than the sum of its proper divisors (12274161426).

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

8199999918 is a wasteful number, since it uses less digits than its factorization.

8199999918 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 368 counting only the distinct ones).

The product of its digits is 34012224, while the sum is 72.

The square root of 8199999918 is about 90553.8509286049. The cubic root of 8199999918 is about 2016.5296684963.

It can be divided in two parts, 81 and 99999918, that added together give a palindrome (99999999).

The spelling of 8199999918 in words is "eight billion, one hundred ninety-nine million, nine hundred ninety-nine thousand, nine hundred eighteen".