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11163959296 = 2157217409
BaseRepresentation
bin10100110010110110…
…01000000000000000
31001211000221220002221
422121123020000000
5140330433144141
65043442220424
7543440042200
oct123133100000
931730856087
1011163959296
114809844946
1221b6954714
13108bba3299
1477c990400
15455179bd1
hex2996c8000

11163959296 has 192 divisors, whose sum is σ = 27567953100. Its totient is φ = 4492099584.

The previous prime is 11163959293. The next prime is 11163959309. The reversal of 11163959296 is 69295936111.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 9538256896 + 1625702400 = 97664^2 + 40320^2 .

It is not an unprimeable number, because it can be changed into a prime (11163959293) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27295540 + ... + 27295948.

Almost surely, 211163959296 is an apocalyptic number.

11163959296 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 11163959296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13783976550).

11163959296 is an abundant number, since it is smaller than the sum of its proper divisors (16403993804).

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

11163959296 is an frugal number, since it uses more digits than its factorization.

11163959296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 435 counting only the distinct ones).

The product of its digits is 787320, while the sum is 52.

The spelling of 11163959296 in words is "eleven billion, one hundred sixty-three million, nine hundred fifty-nine thousand, two hundred ninety-six".