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12540834702 = 23211283173401
BaseRepresentation
bin10111010110111110…
…11111001110001110
31012100222210102002100
423223133133032032
5201140423202302
65432225335530
7622526223204
oct135337371616
935328712070
1012540834702
115355a79800
12251ba975a6
13124b216366
1486d7a3074
154d5ea2d1c
hex2eb7df38e

12540834702 has 144 divisors (see below), whose sum is σ = 30476903184. Its totient is φ = 3723456000.

The previous prime is 12540834701. The next prime is 12540834763. The reversal of 12540834702 is 20743804521.

It is a happy number.

12540834702 is a `hidden beast` number, since 12 + 540 + 8 + 34 + 70 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12540834701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 31273702 + ... + 31274102.

It is an arithmetic number, because the mean of its divisors is an integer number (211645161).

Almost surely, 212540834702 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12540834702, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15238451592).

12540834702 is an abundant number, since it is smaller than the sum of its proper divisors (17936068482).

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

12540834702 is a wasteful number, since it uses less digits than its factorization.

12540834702 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 12540834702 in words is "twelve billion, five hundred forty million, eight hundred thirty-four thousand, seven hundred two".

Divisors: 1 2 3 6 9 11 18 22 33 66 83 99 121 166 173 198 242 249 346 363 401 498 519 726 747 802 913 1038 1089 1203 1494 1557 1826 1903 2178 2406 2739 3114 3609 3806 4411 5478 5709 7218 8217 8822 10043 11418 13233 14359 16434 17127 20086 20933 26466 28718 30129 33283 34254 39699 41866 43077 48521 60258 62799 66566 69373 79398 86154 90387 97042 99849 125598 129231 138746 145563 157949 180774 188397 199698 208119 258462 291126 299547 315898 366113 376794 416238 436689 473847 599094 624357 732226 763103 873378 947694 1098339 1248714 1421541 1526206 1737439 2196678 2289309 2843082 3295017 3474878 4027243 4578618 5212317 5757959 6590034 6867927 8054486 8394133 10424634 11515918 12081729 13735854 15636951 16788266 17273877 24163458 25182399 31273902 34547754 36245187 50364798 51821631 63337549 72490374 75547197 103643262 126675098 151094394 190012647 380025294 570037941 696713039 1140075882 1393426078 2090139117 4180278234 6270417351 12540834702