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11910884769 = 327251972
BaseRepresentation
bin10110001011111000…
…11010110110100001
31010202002102122020100
423011330122312201
5143343141303034
65245523333013
7601106564400
oct130574326641
933662378210
1011910884769
115062425023
122384b21169
13117a862514
1480dc61637
1549aa1b099
hex2c5f1ada1

11910884769 has 27 divisors (see below), whose sum is σ = 20017379187. Its totient is φ = 6804910224.

The previous prime is 11910884729. The next prime is 11910884779. The reversal of 11910884769 is 96748801911.

The square root of 11910884769 is 109137.

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

11910884769 is a `hidden beast` number, since 1 + 1 + 91 + 0 + 88 + 476 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5448654225 + 6462230544 = 73815^2 + 80388^2 .

It is not a de Polignac number, because 11910884769 - 219 = 11910360481 is a prime.

It is a super-2 number, since 2×119108847692 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11910884729) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2289279 + ... + 2294475.

Almost surely, 211910884769 is an apocalyptic number.

11910884769 is the 109137-th square number.

11910884769 is the 54569-th centered octagonal number.

It is an amenable number.

11910884769 is a deficient number, since it is larger than the sum of its proper divisors (8106494418).

11910884769 is an frugal number, since it uses more digits than its factorization.

11910884769 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10414 (or 5207 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 54.

The spelling of 11910884769 in words is "eleven billion, nine hundred ten million, eight hundred eighty-four thousand, seven hundred sixty-nine".

Divisors: 1 3 7 9 21 49 63 147 441 5197 15591 36379 46773 109137 254653 327411 763959 2291877 27008809 81026427 189061663 243079281 567184989 1323431641 1701554967 3970294923 11910884769