Base | Representation |
---|---|
bin | 11011010111011101… |
… | …10111100000000000 |
3 | 1101220221020201011100 |
4 | 31223232313200000 |
5 | 220042220144302 |
6 | 10425524014400 |
7 | 1030042625340 |
oct | 155356674000 |
9 | 41827221140 |
10 | 14692349952 |
11 | 625a4a2a85 |
12 | 2a20531400 |
13 | 1501ba01c7 |
14 | 9d541cd20 |
15 | 5aece3d1c |
hex | 36bbb7800 |
14692349952 has 288 divisors, whose sum is σ = 50614986240. Its totient is φ = 4014489600.
The previous prime is 14692349939. The next prime is 14692349957. The reversal of 14692349952 is 25994329641.
14692349952 is a `hidden beast` number, since 14 + 6 + 92 + 3 + 499 + 52 = 666.
14692349952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (288).
It is a super-2 number, since 2×146923499522 (a number of 21 digits) contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (14692349957) 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 23 ways as a sum of consecutive naturals, for example, 2965077 + ... + 2970027.
It is an arithmetic number, because the mean of its divisors is an integer number (175746480).
Almost surely, 214692349952 is an apocalyptic number.
14692349952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 14692349952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25307493120).
14692349952 is an abundant number, since it is smaller than the sum of its proper divisors (35922636288).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
14692349952 is a wasteful number, since it uses less digits than its factorization.
14692349952 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5009 (or 4986 counting only the distinct ones).
The product of its digits is 4199040, while the sum is 54.
The spelling of 14692349952 in words is "fourteen billion, six hundred ninety-two million, three hundred forty-nine thousand, nine hundred fifty-two".
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