Search a number
-
+
122664216032 = 2523166663337
BaseRepresentation
bin111001000111101011…
…0110110010111100000
3102201121200100210211022
41302033112312113200
54002204014403112
6132203503505012
711601506430041
oct1621726662740
9381550323738
10122664216032
1148026830056
121b933bb8168
13b74b152267
145d191028c8
1532cdd1cd72
hex1c8f5b65e0

122664216032 has 24 divisors (see below), whose sum is σ = 251994967056. Its totient is φ = 58665494272.

The previous prime is 122664216001. The next prime is 122664216061. The reversal of 122664216032 is 230612466221.

122664216032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 122664215983 and 122664216001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 83330933 + ... + 83332404.

It is an arithmetic number, because the mean of its divisors is an integer number (10499790294).

Almost surely, 2122664216032 is an apocalyptic number.

It is an amenable number.

122664216032 is an abundant number, since it is smaller than the sum of its proper divisors (129330751024).

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

122664216032 is a wasteful number, since it uses less digits than its factorization.

122664216032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166663370 (or 166663362 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 35.

The spelling of 122664216032 in words is "one hundred twenty-two billion, six hundred sixty-four million, two hundred sixteen thousand, thirty-two".

Divisors: 1 2 4 8 16 23 32 46 92 184 368 736 166663337 333326674 666653348 1333306696 2666613392 3833256751 5333226784 7666513502 15333027004 30666054008 61332108016 122664216032