Base | Representation |
---|---|
bin | 100010100111111100000… |
… | …111000101010100011000 |
3 | 22102110111202110022110000 |
4 | 202213330013011110120 |
5 | 302440400214124122 |
6 | 5021020131453000 |
7 | 333621266441100 |
oct | 42477407052430 |
9 | 8373452408400 |
10 | 2379346629912 |
11 | 83809116358a |
12 | 325172457160 |
13 | 1434aa033b65 |
14 | 83237a90200 |
15 | 41d5b5e90ac |
hex | 229fc1c5518 |
2379346629912 has 480 divisors, whose sum is σ = 7953289344000. Its totient is φ = 662250193920.
The previous prime is 2379346629911. The next prime is 2379346629967. The reversal of 2379346629912 is 2199266439732.
2379346629912 is a `hidden beast` number, since 2 + 3 + 79 + 3 + 466 + 2 + 99 + 12 = 666.
It is a super-2 number, since 2×23793466299122 (a number of 26 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (63).
It is a nude number because it is divisible by every one of its digits.
It is a self number, because there is not a number n which added to its sum of digits gives 2379346629912.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2379346629911) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1665042414 + ... + 1665043842.
It is an arithmetic number, because the mean of its divisors is an integer number (16569352800).
Almost surely, 22379346629912 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 2379346629912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3976644672000).
2379346629912 is an abundant number, since it is smaller than the sum of its proper divisors (5573942714088).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2379346629912 is a wasteful number, since it uses less digits than its factorization.
2379346629912 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2781 (or 2761 counting only the distinct ones).
The product of its digits is 52907904, while the sum is 63.
The spelling of 2379346629912 in words is "two trillion, three hundred seventy-nine billion, three hundred forty-six million, six hundred twenty-nine thousand, nine hundred twelve".
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