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9698613418368 = 2735797459223
BaseRepresentation
bin1000110100100010001001…
…1010000101100110000000
31021100011211001012120200000
42031020202122011212000
52232400230013341433
632343252000400000
72020462452563610
oct215104232054600
937304731176600
109698613418368
1130aa182483496
1211077a6016000
13554762c98914
142575b5baca40
1511c43ab90113
hex8d222685980

9698613418368 has 384 divisors, whose sum is σ = 33418134597120. Its totient is φ = 2742459088896.

The previous prime is 9698613418367. The next prime is 9698613418379. The reversal of 9698613418368 is 8638143168969.

9698613418368 is a `hidden beast` number, since 9 + 6 + 98 + 61 + 3 + 418 + 3 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 9698613418296 and 9698613418305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9698613418367) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20890005 + ... + 21349227.

It is an arithmetic number, because the mean of its divisors is an integer number (87026392180).

Almost surely, 29698613418368 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 9698613418368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16709067298560).

9698613418368 is an abundant number, since it is smaller than the sum of its proper divisors (23719521178752).

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

9698613418368 is an equidigital number, since it uses as much as digits as its factorization.

9698613418368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459356 (or 459332 counting only the distinct ones).

The product of its digits is 322486272, while the sum is 72.

The spelling of 9698613418368 in words is "nine trillion, six hundred ninety-eight billion, six hundred thirteen million, four hundred eighteen thousand, three hundred sixty-eight".