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12891354714 = 233758758099
BaseRepresentation
bin11000000000110001…
…00111011001011010
31020021102100200011000
430000120213121122
5202400141322324
65531110245430
7634313464350
oct140030473132
936242320130
1012891354714
115515919667
1225b9356876
1312a5a22154
148a41677d0
15506b409c9
hex30062765a

12891354714 has 64 divisors (see below), whose sum is σ = 32796288000. Its totient is φ = 3676906224.

The previous prime is 12891354713. The next prime is 12891354719. The reversal of 12891354714 is 41745319821.

12891354714 is a `hidden beast` number, since 1 + 2 + 8 + 91 + 3 + 547 + 14 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 12891354714.

It is not an unprimeable number, because it can be changed into a prime (12891354713) 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, 192837 + ... + 250935.

It is an arithmetic number, because the mean of its divisors is an integer number (512442000).

Almost surely, 212891354714 is an apocalyptic number.

12891354714 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12891354714, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16398144000).

12891354714 is an abundant number, since it is smaller than the sum of its proper divisors (19904933286).

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

12891354714 is a wasteful number, since it uses less digits than its factorization.

12891354714 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58704 (or 58698 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The spelling of 12891354714 in words is "twelve billion, eight hundred ninety-one million, three hundred fifty-four thousand, seven hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 587 1174 1761 3522 4109 5283 8218 10566 12327 15849 24654 31698 36981 58099 73962 110943 116198 174297 221886 348594 406693 522891 813386 1045782 1220079 1568673 2440158 3137346 3660237 7320474 10980711 21961422 34104113 68208226 102312339 204624678 238728791 306937017 477457582 613874034 716186373 920811051 1432372746 1841622102 2148559119 4297118238 6445677357 12891354714