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11006867749 = 411731551793
BaseRepresentation
bin10100100000000111…
…10111100100100101
31001102002100211000111
422100003313210211
5140020224231444
65020111213021
7536521555303
oct122003674445
931362324014
1011006867749
1147390a9719
122172217171
1310654905c7
14765b7b273
15446499234
hex2900f7925

11006867749 has 8 divisors (see below), whose sum is σ = 11340510552. Its totient is φ = 10676328960.

The previous prime is 11006867743. The next prime is 11006867777. The reversal of 11006867749 is 94776860011.

It can be written as a sum of positive squares in 4 ways, for example, as 1746654849 + 9260212900 = 41793^2 + 96230^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 11006867749 - 27 = 11006867621 is a prime.

It is a super-3 number, since 3×110068677493 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11006867743) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 768804 + ... + 782989.

It is an arithmetic number, because the mean of its divisors is an integer number (1417563819).

Almost surely, 211006867749 is an apocalyptic number.

It is an amenable number.

11006867749 is a deficient number, since it is larger than the sum of its proper divisors (333642803).

11006867749 is a wasteful number, since it uses less digits than its factorization.

11006867749 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1552007.

The product of its (nonzero) digits is 508032, while the sum is 49.

The spelling of 11006867749 in words is "eleven billion, six million, eight hundred sixty-seven thousand, seven hundred forty-nine".

Divisors: 1 41 173 7093 1551793 63623513 268460189 11006867749