Search a number
-
+
12363121764 = 2232749060007
BaseRepresentation
bin10111000001110011…
…00100010001100100
31011220121101122202200
423200321210101210
5200304424344024
65402440334500
7615240541530
oct134071442144
934817348680
1012363121764
115274729404
122490474430
131220463486
14853d42bc0
154c559c2c9
hex2e0e64464

12363121764 has 36 divisors (see below), whose sum is σ = 35715685824. Its totient is φ = 3532320432.

The previous prime is 12363121763. The next prime is 12363121787. The reversal of 12363121764 is 46712136321.

12363121764 is a `hidden beast` number, since 1 + 2 + 3 + 631 + 2 + 17 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (12363121763) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24529752 + ... + 24530255.

It is an arithmetic number, because the mean of its divisors is an integer number (992102384).

Almost surely, 212363121764 is an apocalyptic number.

12363121764 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12363121764 is an abundant number, since it is smaller than the sum of its proper divisors (23352564060).

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

12363121764 is a wasteful number, since it uses less digits than its factorization.

12363121764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49060024 (or 49060019 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The spelling of 12363121764 in words is "twelve billion, three hundred sixty-three million, one hundred twenty-one thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 49060007 98120014 147180021 196240028 294360042 343420049 441540063 588720084 686840098 883080126 1030260147 1373680196 1766160252 2060520294 3090780441 4121040588 6181560882 12363121764