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12906245147466 = 23113730671723219
BaseRepresentation
bin1011101111001111100000…
…1010000100101101001010
31200200211021102012112210210
42323303320022010231022
53142423442224204331
643241014104421550
72501305533453036
oct273637012045512
950624242175723
1012906245147466
114126564a143a0
1215453974778b6
13728090c78508
143289465891c6
15175ac385b446
hexbbcf8284b4a

12906245147466 has 64 divisors (see below), whose sum is σ = 28929582789120. Its totient is φ = 3804038199360.

The previous prime is 12906245147461. The next prime is 12906245147491. The reversal of 12906245147466 is 66474154260921.

12906245147466 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12906245147461) 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, 6628005 + ... + 8351223.

It is an arithmetic number, because the mean of its divisors is an integer number (452024731080).

Almost surely, 212906245147466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12906245147466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14464791394560).

12906245147466 is an abundant number, since it is smaller than the sum of its proper divisors (16023337641654).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12906245147466 is a wasteful number, since it uses less digits than its factorization.

12906245147466 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1726339.

The product of its (nonzero) digits is 17418240, while the sum is 57.

The spelling of 12906245147466 in words is "twelve trillion, nine hundred six billion, two hundred forty-five million, one hundred forty-seven thousand, four hundred sixty-six".

Divisors: 1 2 3 6 11 22 33 37 66 74 111 222 407 814 1221 2442 3067 6134 9201 18402 33737 67474 101211 113479 202422 226958 340437 680874 1248269 1723219 2496538 3446438 3744807 5169657 7489614 10339314 18955409 37910818 56866227 63759103 113732454 127518206 191277309 382554618 701350133 1402700266 2104050399 4208100798 5285112673 10570225346 15855338019 31710676038 58136239403 116272478806 174408718209 195549168901 348817436418 391098337802 586647506703 1173295013406 2151040857911 4302081715822 6453122573733 12906245147466