Search a number
-
+
11050501056 = 263731416469
BaseRepresentation
bin10100100101010100…
…10100001111000000
31001112010110121122220
422102222110033000
5140112412013211
65024310331040
7540561465150
oct122252241700
931463417586
1011050501056
1147607a1001
122184959a80
131071529b2a
1476b898760
1544a217806
hex292a943c0

11050501056 has 224 divisors, whose sum is σ = 35339243520. Its totient is φ = 2980454400.

The previous prime is 11050501039. The next prime is 11050501079. The reversal of 11050501056 is 65010505011.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×110505010562 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 31 ways as a sum of consecutive naturals, for example, 1704990 + ... + 1711458.

It is an arithmetic number, because the mean of its divisors is an integer number (157764480).

Almost surely, 211050501056 is an apocalyptic number.

11050501056 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 11050501056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17669621760).

11050501056 is an abundant number, since it is smaller than the sum of its proper divisors (24288742464).

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

11050501056 is a wasteful number, since it uses less digits than its factorization.

11050501056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6563 (or 6553 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 24.

The spelling of 11050501056 in words is "eleven billion, fifty million, five hundred one thousand, fifty-six".