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133870763464872 = 23376113177991357
BaseRepresentation
bin11110011100000100110111…
…010011010101100010101000
3122112222220211200100202222220
4132130010313103111202220
5120021314310421333442
61152415214004314040
740124562213246420
oct3634046723254250
9575886750322886
10133870763464872
11397232a9a77175
12130210739a2920
135990c60709555
14250b5455ab480
15107244474beec
hex79c1374d58a8

133870763464872 has 128 divisors (see below), whose sum is σ = 388788083946240. Its totient is φ = 37618867169280.

The previous prime is 133870763464787. The next prime is 133870763464873. The reversal of 133870763464872 is 278464367078331.

It is a junction number, because it is equal to n+sod(n) for n = 133870763464797 and 133870763464806.

It is not an unprimeable number, because it can be changed into a prime (133870763464873) 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 31 ways as a sum of consecutive naturals, for example, 134542218 + ... + 135533574.

It is an arithmetic number, because the mean of its divisors is an integer number (3037406905830).

Almost surely, 2133870763464872 is an apocalyptic number.

133870763464872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133870763464872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194394041973120).

133870763464872 is an abundant number, since it is smaller than the sum of its proper divisors (254917320481368).

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

133870763464872 is a wasteful number, since it uses less digits than its factorization.

133870763464872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1004611 (or 1004607 counting only the distinct ones).

The product of its (nonzero) digits is 682795008, while the sum is 69.

The spelling of 133870763464872 in words is "one hundred thirty-three trillion, eight hundred seventy billion, seven hundred sixty-three million, four hundred sixty-four thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 61 84 122 168 183 244 366 427 488 732 854 1281 1464 1708 2562 3416 5124 10248 13177 26354 39531 52708 79062 92239 105416 158124 184478 276717 316248 368956 553434 737912 803797 991357 1106868 1607594 1982714 2213736 2411391 2974071 3215188 3965428 4822782 5626579 5948142 6430376 6939499 7930856 9645564 11253158 11896284 13878998 16879737 19291128 20818497 22506316 23792568 27757996 33759474 41636994 45012632 55515992 60472777 67518948 83273988 120945554 135037896 166547976 181418331 241891108 362836662 423309439 483782216 725673324 846618878 1269928317 1451346648 1693237756 2539856634 3386475512 5079713268 10159426536 13063111189 26126222378 39189333567 52252444756 78378667134 91441778323 104504889512 156757334268 182883556646 274325334969 313514668536 365767113292 548650669938 731534226584 796849782529 1097301339876 1593699565058 2194602679752 2390549347587 3187399130116 4781098695174 5577948477703 6374798260232 9562197390348 11155896955406 16733845433109 19124394780696 22311793910812 33467690866218 44623587821624 66935381732436 133870763464872