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11198035968 = 21137833137
BaseRepresentation
bin10100110110111010…
…00111100000000000
31001220102002011111220
422123131013200000
5140413144122333
65051100435040
7544332510120
oct123335074000
931812064456
1011198035968
114826aaa189
122206248a80
131095c749b2
14783300c80
1545815b8b3
hex29b747800

11198035968 has 192 divisors, whose sum is σ = 34541095680. Its totient is φ = 3159883776.

The previous prime is 11198035883. The next prime is 11198035999. The reversal of 11198035968 is 86953089111.

It is a tau number, because it is divible by the number of its divisors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 11198035968.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3568096 + ... + 3571232.

It is an arithmetic number, because the mean of its divisors is an integer number (179901540).

Almost surely, 211198035968 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 11198035968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17270547840).

11198035968 is an abundant number, since it is smaller than the sum of its proper divisors (23343059712).

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

11198035968 is an equidigital number, since it uses as much as digits as its factorization.

11198035968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3252 (or 3232 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 51.

The spelling of 11198035968 in words is "eleven billion, one hundred ninety-eight million, thirty-five thousand, nine hundred sixty-eight".