Search a number
-
+
12369111156 = 2235109116747
BaseRepresentation
bin10111000010100000…
…11010100001110100
31011221000122221200000
423201100122201310
5200312443024111
65403212551300
7615342465363
oct134120324164
934830587600
1012369111156
11527804a316
122492482530
13122177c6ac
14854a617da
154c5d81c56
hex2e141a874

12369111156 has 72 divisors (see below), whose sum is σ = 32722129440. Its totient is φ = 4085176032.

The previous prime is 12369111149. The next prime is 12369111163. The reversal of 12369111156 is 65111196321.

It is an interprime number because it is at equal distance from previous prime (12369111149) and next prime (12369111163).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 12369111156.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47575 + ... + 164321.

It is an arithmetic number, because the mean of its divisors is an integer number (454474020).

Almost surely, 212369111156 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12369111156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16361064720).

12369111156 is an abundant number, since it is smaller than the sum of its proper divisors (20353018284).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12369111156 is a wasteful number, since it uses less digits than its factorization.

12369111156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116875 (or 116861 counting only the distinct ones).

The product of its digits is 9720, while the sum is 36.

The spelling of 12369111156 in words is "twelve billion, three hundred sixty-nine million, one hundred eleven thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 109 162 218 243 324 327 436 486 654 972 981 1308 1962 2943 3924 5886 8829 11772 17658 26487 35316 52974 105948 116747 233494 350241 466988 700482 1050723 1400964 2101446 3152169 4202892 6304338 9456507 12608676 12725423 18913014 25450846 28369521 37826028 38176269 50901692 56739042 76352538 113478084 114528807 152705076 229057614 343586421 458115228 687172842 1030759263 1374345684 2061518526 3092277789 4123037052 6184555578 12369111156