Search a number
-
+
11604244729 = 7211213992
BaseRepresentation
bin10101100111010101…
…01011100011111001
31002221201102201011211
422303222223203321
5142231141312404
65155251123121
7560364311200
oct126352534371
932851381154
1011604244729
114a15325900
1222ba2a34a1
13112c17b2cc
147c1240237
1547db49b04
hex2b3aab8f9

11604244729 has 27 divisors (see below), whose sum is σ = 14848154181. Its totient is φ = 9035805240.

The previous prime is 11604244723. The next prime is 11604244739. The reversal of 11604244729 is 92744240611.

The square root of 11604244729 is 107723.

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

It is a de Polignac number, because none of the positive numbers 2k-11604244729 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11604244691 and 11604244700.

It is not an unprimeable number, because it can be changed into a prime (11604244723) 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, 8293972 + ... + 8295370.

Almost surely, 211604244729 is an apocalyptic number.

11604244729 is the 107723-rd square number.

11604244729 is the 53862-nd centered octagonal number.

It is an amenable number.

11604244729 is a deficient number, since it is larger than the sum of its proper divisors (3243909452).

11604244729 is an frugal number, since it uses more digits than its factorization.

11604244729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2834 (or 1417 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The spelling of 11604244729 in words is "eleven billion, six hundred four million, two hundred forty-four thousand, seven hundred twenty-nine".

Divisors: 1 7 11 49 77 121 539 847 1399 5929 9793 15389 68551 107723 169279 754061 1184953 1957201 8294671 13700407 21529211 95902849 150704477 236821321 1054931339 1657749247 11604244729