Base | Representation |
---|---|
bin | 10110101110010000… |
… | …00100100101010000 |
3 | 1011111011212010110200 |
4 | 23113020010211100 |
5 | 144440440330302 |
6 | 5334302055200 |
7 | 611210036451 |
oct | 132710044520 |
9 | 34434763420 |
10 | 12199151952 |
11 | 51a0115469 |
12 | 244557a500 |
13 | 11c54b2b10 |
14 | 83a25d128 |
15 | 4b5ead81c |
hex | 2d7204950 |
12199151952 has 120 divisors (see below), whose sum is σ = 36898409184. Its totient is φ = 3740159232.
The previous prime is 12199151897. The next prime is 12199151969. The reversal of 12199151952 is 25915199121.
12199151952 is a `hidden beast` number, since 121 + 9 + 9 + 1 + 519 + 5 + 2 = 666.
It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.
It is a junction number, because it is equal to n+sod(n) for n = 12199151898 and 12199151907.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 518263 + ... + 541289.
Almost surely, 212199151952 is an apocalyptic number.
12199151952 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 12199151952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18449204592).
12199151952 is an abundant number, since it is smaller than the sum of its proper divisors (24699257232).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12199151952 is a wasteful number, since it uses less digits than its factorization.
12199151952 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 23337 (or 23328 counting only the distinct ones).
The product of its digits is 72900, while the sum is 45.
The spelling of 12199151952 in words is "twelve billion, one hundred ninety-nine million, one hundred fifty-one thousand, nine hundred fifty-two".
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