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14067275346 = 23673132169
BaseRepresentation
bin11010001100111100…
…11001011001010010
31100022101001122000000
431012132121121102
5212302210302341
610243514310430
71005412603365
oct150636313122
940271048000
1014067275346
115a696791a3
122887128416
131432535487
149763ca0dc
15574ec18b6
hex346799652

14067275346 has 56 divisors (see below), whose sum is σ = 32070521820. Its totient is φ = 4624822656.

The previous prime is 14067275231. The next prime is 14067275351. The reversal of 14067275346 is 64357276041.

14067275346 is a `hidden beast` number, since 1 + 40 + 6 + 72 + 7 + 534 + 6 = 666.

14067275346 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 12212681121 + 1854594225 = 110511^2 + 43065^2 .

It is an unprimeable number.

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 27 ways as a sum of consecutive naturals, for example, 40350 + ... + 172518.

Almost surely, 214067275346 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14067275346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16035260910).

14067275346 is an abundant number, since it is smaller than the sum of its proper divisors (18003246474).

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

14067275346 is an equidigital number, since it uses as much as digits as its factorization.

14067275346 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132262 (or 132247 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 14067275346 in words is "fourteen billion, sixty-seven million, two hundred seventy-five thousand, three hundred forty-six".

Divisors: 1 2 3 6 9 18 27 54 73 81 146 162 219 243 438 486 657 729 1314 1458 1971 3942 5913 11826 17739 35478 53217 106434 132169 264338 396507 793014 1189521 2379042 3568563 7137126 9648337 10705689 19296674 21411378 28945011 32117067 57890022 64234134 86835033 96351201 173670066 192702402 260505099 521010198 781515297 1563030594 2344545891 4689091782 7033637673 14067275346