Search a number
-
+
11374862409 = 327324872
BaseRepresentation
bin10101001011111111…
…01010000001001001
31002100201210212210100
422211333222001021
5141243431044114
65120414440013
7551610510111
oct124577520111
932321725710
1011374862409
1149078a4539
122255503009
1310c37a7221
1479c9b0041
15468939909
hex2a5fea049

11374862409 has 27 divisors (see below), whose sum is σ = 16692790023. Its totient is φ = 7464003552.

The previous prime is 11374862377. The next prime is 11374862419. The reversal of 11374862409 is 90426847311.

The square root of 11374862409 is 106653.

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

11374862409 is a `hidden beast` number, since 1 + 13 + 7 + 4 + 8 + 624 + 0 + 9 = 666.

11374862409 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 6456926025 + 4917936384 = 80355^2 + 70128^2 .

It is not a de Polignac number, because 11374862409 - 25 = 11374862377 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11374862419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 23356764 + ... + 23357250.

Almost surely, 211374862409 is an apocalyptic number.

11374862409 is the 106653-rd square number.

11374862409 is the 53327-th centered octagonal number.

It is an amenable number.

11374862409 is a deficient number, since it is larger than the sum of its proper divisors (5317927614).

11374862409 is an frugal number, since it uses more digits than its factorization.

11374862409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1126 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 11374862409 in words is "eleven billion, three hundred seventy-four million, eight hundred sixty-two thousand, four hundred nine".

Divisors: 1 3 9 73 219 487 657 1461 4383 5329 15987 35551 47961 106653 237169 319959 711507 2134521 2595223 7785669 17313337 23357007 51940011 155820033 1263873601 3791620803 11374862409