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12835530435 = 3571383277409
BaseRepresentation
bin10111111010000111…
…01010011011000011
31020010112022111122010
423331003222123003
5202241343433220
65521353544003
7633035131350
oct137503523303
936115274563
1012835530435
11549735aaa2
1225a2715003
1312972a7a30
1489a995627
15501cb51e0
hex2fd0ea6c3

12835530435 has 128 divisors (see below), whose sum is σ = 25735772160. Its totient is φ = 5318701056.

The previous prime is 12835530431. The next prime is 12835530437. The reversal of 12835530435 is 53403553821.

It is a Cunningham number, because it is equal to 1132942-1.

It is not a de Polignac number, because 12835530435 - 22 = 12835530431 is a prime.

It is a super-2 number, since 2×128355304352 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 12835530393 and 12835530402.

It is not an unprimeable number, because it can be changed into a prime (12835530431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 31382511 + ... + 31382919.

It is an arithmetic number, because the mean of its divisors is an integer number (201060720).

Almost surely, 212835530435 is an apocalyptic number.

12835530435 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12835530435 is an abundant number, since it is smaller than the sum of its proper divisors (12900241725).

12835530435 is a wasteful number, since it uses less digits than its factorization.

12835530435 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797.

The product of its (nonzero) digits is 216000, while the sum is 39.

The spelling of 12835530435 in words is "twelve billion, eight hundred thirty-five million, five hundred thirty thousand, four hundred thirty-five".

Divisors: 1 3 5 7 13 15 21 35 39 65 83 91 105 195 249 273 277 409 415 455 581 831 1079 1227 1245 1365 1385 1743 1939 2045 2863 2905 3237 3601 4155 5317 5395 5817 6135 7553 8589 8715 9695 10803 14315 15951 16185 18005 22659 22991 25207 26585 29085 33947 37219 37765 42945 54015 68973 75621 79755 101841 111657 113293 113295 114955 126035 160937 169735 186095 237629 298883 339879 344865 378105 441311 482811 509205 558285 566465 712887 793051 804685 896649 1188145 1323933 1472809 1494415 1699395 2092181 2206555 2379153 2414055 3089177 3564435 3965255 4418427 4483245 6276543 6619665 7364045 9267531 9403319 10309663 10460905 11895765 15445885 22092135 28209957 30928989 31382715 46337655 47016595 51548315 65823233 122243147 141049785 154644945 197469699 329116165 366729441 611215735 855702029 987348495 1833647205 2567106087 4278510145 12835530435