| Base | Representation |
|---|---|
| bin | 10111111011110010… |
| … | …01001111100000000 |
| 3 | 1020011111200221012000 |
| 4 | 23331321021330000 |
| 5 | 202303441200102 |
| 6 | 5523014304000 |
| 7 | 633265254042 |
| oct | 137571117400 |
| 9 | 36144627160 |
| 10 | 12849553152 |
| 11 | 54a4268517 |
| 12 | 25a7358000 |
| 13 | 129a1775b7 |
| 14 | 89c7a5a92 |
| 15 | 50313501c |
| hex | 2fde49f00 |
12849553152 has 288 divisors, whose sum is σ = 40017922560. Its totient is φ = 4059095040.
The previous prime is 12849553151. The next prime is 12849553153. The reversal of 12849553152 is 25135594821.
12849553152 is a `hidden beast` number, since 1 + 2 + 8 + 49 + 553 + 1 + 52 = 666.
It is an interprime number because it is at equal distance from previous prime (12849553151) and next prime (12849553153).
It is a tau number, because it is divible by the number of its divisors (288).
It is a super-2 number, since 2×128495531522 (a number of 21 digits) contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 12849553098 and 12849553107.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (12849553151) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20825548 + ... + 20826164.
It is an arithmetic number, because the mean of its divisors is an integer number (138951120).
Almost surely, 212849553152 is an apocalyptic number.
12849553152 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 12849553152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20008961280).
12849553152 is an abundant number, since it is smaller than the sum of its proper divisors (27168369408).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12849553152 is a wasteful number, since it uses less digits than its factorization.
12849553152 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 796 (or 776 counting only the distinct ones).
The product of its digits is 432000, while the sum is 45.
The spelling of 12849553152 in words is "twelve billion, eight hundred forty-nine million, five hundred fifty-three thousand, one hundred fifty-two".
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