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9196680960 = 283251942017
BaseRepresentation
bin10001001000010101…
…00011011100000000
3212201221011210120100
420210022203130000
5122313322242320
64120324442400
7443621332635
oct104412433400
925657153510
109196680960
11399a317585
121947b49400
13b3744496c
146335b218c
1538c5cc790
hex2242a3700

9196680960 has 216 divisors, whose sum is σ = 33495068880. Its totient is φ = 2323316736.

The previous prime is 9196680949. The next prime is 9196680967. The reversal of 9196680960 is 690866919.

It is a super-3 number, since 3×91966809603 (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 9196680897 and 9196680906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9196680967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 197872 + ... + 239888.

Almost surely, 29196680960 is an apocalyptic number.

9196680960 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9196680960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16747534440).

9196680960 is an abundant number, since it is smaller than the sum of its proper divisors (24298387920).

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

9196680960 is a wasteful number, since it uses less digits than its factorization.

9196680960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42063 (or 42046 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 54.

The square root of 9196680960 is about 95899.3272134899. The cubic root of 9196680960 is about 2095.1270960691.

The spelling of 9196680960 in words is "nine billion, one hundred ninety-six million, six hundred eighty thousand, nine hundred sixty".