Search a number
-
+
11689610955 = 351127978081
BaseRepresentation
bin10101110001100000…
…10100111011001011
31010011200001202121220
422320300110323023
5142420020022310
65211540533123
7562452024261
oct127060247313
933150052556
1011689610955
114a59531800
1223229b11a3
131143a6a079
147cc702431
154863ad670
hex2b8c14ecb

11689610955 has 48 divisors (see below), whose sum is σ = 20586599712. Its totient is φ = 5659878400.

The previous prime is 11689610953. The next prime is 11689610971. The reversal of 11689610955 is 55901698611.

11689610955 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11689610955 - 21 = 11689610953 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11689610898 and 11689610907.

It is not an unprimeable number, because it can be changed into a prime (11689610953) 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 47 ways as a sum of consecutive naturals, for example, 1442515 + ... + 1450595.

It is an arithmetic number, because the mean of its divisors is an integer number (428887494).

Almost surely, 211689610955 is an apocalyptic number.

11689610955 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

11689610955 is a deficient number, since it is larger than the sum of its proper divisors (8896988757).

11689610955 is a wasteful number, since it uses less digits than its factorization.

11689610955 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8908 (or 8897 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 51.

The spelling of 11689610955 in words is "eleven billion, six hundred eighty-nine million, six hundred ten thousand, nine hundred fifty-five".

Divisors: 1 3 5 11 15 33 55 121 165 363 605 797 1815 2391 3985 8081 8767 11955 24243 26301 40405 43835 88891 96437 121215 131505 266673 289311 444455 482185 977801 1333365 1446555 2933403 4889005 6440557 14667015 19321671 32202785 70846127 96608355 212538381 354230635 779307397 1062691905 2337922191 3896536985 11689610955