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129139113128805 = 325136832617123503
BaseRepresentation
bin11101010111001110001010…
…111101101111001101100101
3121221020120121211111000110200
4131113032022331233031211
5113411303400430110210
61134353404540341113
736125664416063433
oct3527161275571545
9557216554430420
10129139113128805
1138169654790a7a
1212598037844799
1357099c62009a0
1423c651b683d53
15ede310c6c0c0
hex75738af6f365

129139113128805 has 96 divisors (see below), whose sum is σ = 241506823574016. Its totient is φ = 63458323264512.

The previous prime is 129139113128747. The next prime is 129139113128867. The reversal of 129139113128805 is 508821311931921.

129139113128805 is a `hidden beast` number, since 1 + 29 + 1 + 391 + 131 + 28 + 80 + 5 = 666.

It is not a de Polignac number, because 129139113128805 - 220 = 129139112080229 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1045573684 + ... + 1045697186.

It is an arithmetic number, because the mean of its divisors is an integer number (2515696078896).

Almost surely, 2129139113128805 is an apocalyptic number.

129139113128805 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

129139113128805 is a deficient number, since it is larger than the sum of its proper divisors (112367710445211).

129139113128805 is a wasteful number, since it uses less digits than its factorization.

129139113128805 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126827 (or 126824 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 54.

The spelling of 129139113128805 in words is "one hundred twenty-nine trillion, one hundred thirty-nine billion, one hundred thirteen million, one hundred twenty-eight thousand, eight hundred five".

Divisors: 1 3 5 9 13 15 39 45 65 117 195 585 683 2049 2617 3415 6147 7851 8879 10245 13085 23553 26637 30735 34021 39255 44395 79911 102063 117765 123503 133185 170105 306189 370509 399555 510315 617515 1111527 1530945 1605539 1787411 1852545 4816617 5362233 5557635 8027695 8937055 14449851 16086699 23236343 24083085 26811165 69709029 72249255 80433495 84352549 116181715 209127087 253057647 323207351 348545145 421762745 759172941 969622053 1045635435 1096583137 1265288235 1616036755 2908866159 3289749411 3795864705 4201695563 4848110265 5482915685 9869248233 12605086689 14544330795 16448747055 21008477815 37815260067 49346241165 63025433445 189076300335 220750620733 662251862199 1103753103665 1986755586597 2869758069529 3311259310995 8609274208587 9933777932985 14348790347645 25827822625761 43046371042935 129139113128805