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11133799056 = 2433193761601
BaseRepresentation
bin10100101111010000…
…00100101010010000
31001201221012121001000
422113220010222100
5140300223032211
65040443542000
7542622505362
oct122750045220
931657177030
1011133799056
1147a3815026
1221a882a900
1310858733a3
1477897cd32
154526bd656
hex297a04a90

11133799056 has 320 divisors, whose sum is σ = 35174137600. Its totient is φ = 3359232000.

The previous prime is 11133799051. The next prime is 11133799057. The reversal of 11133799056 is 65099733111.

It is a happy number.

It is a super-2 number, since 2×111337990562 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11133799051) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 18525156 + ... + 18525756.

It is an arithmetic number, because the mean of its divisors is an integer number (109919180).

Almost surely, 211133799056 is an apocalyptic number.

11133799056 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 11133799056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17587068800).

11133799056 is an abundant number, since it is smaller than the sum of its proper divisors (24040338544).

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

11133799056 is a wasteful number, since it uses less digits than its factorization.

11133799056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 153090, while the sum is 45.

The spelling of 11133799056 in words is "eleven billion, one hundred thirty-three million, seven hundred ninety-nine thousand, fifty-six".