Search a number
-
+
129984057702048 = 25311248894945597
BaseRepresentation
bin11101100011100001000101…
…100101011111011010100000
3122001020100120110202122022010
4131203201011211133122200
5114014124322232431143
61140241503551112520
736244016060334624
oct3543410545373240
9561210513678263
10129984057702048
1138464a24993880
12126b3945b12740
13576b5a0752ca4
142415394b6b184
1510062b4b9ea33
hex76384595f6a0

129984057702048 has 96 divisors (see below), whose sum is σ = 372242105081280. Its totient is φ = 39387517839360.

The previous prime is 129984057702029. The next prime is 129984057702127. The reversal of 129984057702048 is 840207750489921.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a self number, because there is not a number n which added to its sum of digits gives 129984057702048.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 23809986 + ... + 28755582.

It is an arithmetic number, because the mean of its divisors is an integer number (3877521927930).

Almost surely, 2129984057702048 is an apocalyptic number.

It is an amenable number.

129984057702048 is an abundant number, since it is smaller than the sum of its proper divisors (242258047379232).

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

129984057702048 is a wasteful number, since it uses less digits than its factorization.

129984057702048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4970510 (or 4970502 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 66.

The spelling of 129984057702048 in words is "one hundred twenty-nine trillion, nine hundred eighty-four billion, fifty-seven million, seven hundred two thousand, forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 24889 49778 74667 99556 149334 199112 273779 298668 398224 547558 597336 796448 821337 1095116 1194672 1642674 2190232 2389344 3285348 4380464 4945597 6570696 8760928 9891194 13141392 14836791 19782388 26282784 29673582 39564776 54401567 59347164 79129552 108803134 118694328 158259104 163204701 217606268 237388656 326409402 435212536 474777312 652818804 870425072 1305637608 1740850144 2611275216 5222550432 123090963733 246181927466 369272891199 492363854932 738545782398 984727709864 1354000601063 1477091564796 1969455419728 2708001202126 2954183129592 3938910839456 4062001803189 5416002404252 5908366259184 8124003606378 10832004808504 11816732518368 16248007212756 21664009617008 32496014425512 43328019234016 64992028851024 129984057702048