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11191332096 = 283271315297
BaseRepresentation
bin10100110110000111…
…00010110100000000
31001212221110120112100
422123003202310000
5140404440111341
65050301030400
7544221516240
oct123303426400
931787416470
1011191332096
11482324049a
122203b55400
1310947684c9
14782477b20
154577853b6
hex29b0e2d00

11191332096 has 216 divisors, whose sum is σ = 37165512384. Its totient is φ = 3172515840.

The previous prime is 11191332083. The next prime is 11191332109. The reversal of 11191332096 is 69023319111.

It is an interprime number because it is at equal distance from previous prime (11191332083) and next prime (11191332109).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 11191332096.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2110120 + ... + 2115416.

Almost surely, 211191332096 is an apocalyptic number.

11191332096 is a gapful number since it is divisible by the number (16) 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 11191332096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18582756192).

11191332096 is an abundant number, since it is smaller than the sum of its proper divisors (25974180288).

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

11191332096 is a wasteful number, since it uses less digits than its factorization.

11191332096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5457 (or 5440 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 36.

The spelling of 11191332096 in words is "eleven billion, one hundred ninety-one million, three hundred thirty-two thousand, ninety-six".