| Base | Representation |
|---|---|
| bin | 1011011101110010101101… |
| … | …0111001011011011000000 |
| 3 | 1122122011110121222212011000 |
| 4 | 2313130223113023123000 |
| 5 | 3123021010331311034 |
| 6 | 42451154241452000 |
| 7 | 2440533513211200 |
| oct | 267345327133300 |
| 9 | 48564417885130 |
| 10 | 12606456510144 |
| 11 | 4020406060aa2 |
| 12 | 14b7270941000 |
| 13 | 705a25b81aa3 |
| 14 | 318227546400 |
| 15 | 16cdc99ed599 |
| hex | b772b5cb6c0 |
12606456510144 has 672 divisors, whose sum is σ = 44546836992000. Its totient is φ = 3482150031360.
The previous prime is 12606456510127. The next prime is 12606456510149. The reversal of 12606456510144 is 44101565460621.
12606456510144 is a `hidden beast` number, since 1 + 2 + 6 + 0 + 6 + 456 + 51 + 0 + 144 = 666.
It is a tau number, because it is divible by the number of its divisors (672).
It is a super-3 number, since 3×126064565101443 (a number of 40 digits) contains 333 as substring.
It is a self number, because there is not a number n which added to its sum of digits gives 12606456510144.
It is not an unprimeable number, because it can be changed into a prime (12606456510149) by changing a digit.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3672138252 + ... + 3672141684.
It is an arithmetic number, because the mean of its divisors is an integer number (66289936000).
Almost surely, 212606456510144 is an apocalyptic number.
12606456510144 is a gapful number since it is divisible by the number (14) 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 12606456510144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22273418496000).
12606456510144 is an abundant number, since it is smaller than the sum of its proper divisors (31940380481856).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12606456510144 is a wasteful number, since it uses less digits than its factorization.
12606456510144 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4898 (or 4875 counting only the distinct ones).
The product of its (nonzero) digits is 691200, while the sum is 45.
The spelling of 12606456510144 in words is "twelve trillion, six hundred six billion, four hundred fifty-six million, five hundred ten thousand, one hundred forty-four".
• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.086 sec. • engine limits •