Search a number
-
+
11036763136 = 21074672
BaseRepresentation
bin10100100011101011…
…11010010000000000
31001111011121122210001
422101311322100000
5140100402410021
65023100045344
7540333640000
oct122165722000
931434548701
1011036763136
114753a68553
122180233854
13106b729a99
14769b20000
15448e02091
hex291d7a400

11036763136 has 165 divisors, whose sum is σ = 26128229379. Its totient is φ = 4659443712.

The previous prime is 11036763121. The next prime is 11036763151. The reversal of 11036763136 is 63136763011.

The square root of 11036763136 is 105056.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (11036763121) and next prime (11036763151).

It is a junction number, because it is equal to n+sod(n) for n = 11036763095 and 11036763104.

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 14 ways as a sum of consecutive naturals, for example, 164727775 + ... + 164727841.

Almost surely, 211036763136 is an apocalyptic number.

11036763136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

11036763136 is the 105056-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11036763136

11036763136 is an abundant number, since it is smaller than the sum of its proper divisors (15091466243).

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

11036763136 is an frugal number, since it uses more digits than its factorization.

11036763136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 37.

The spelling of 11036763136 in words is "eleven billion, thirty-six million, seven hundred sixty-three thousand, one hundred thirty-six".