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116838136134 = 232192944926237
BaseRepresentation
bin110110011010000011…
…0000111100101000110
3102011120122120021200100
41230310012013211012
53403241030324014
6125401422424530
711304233525256
oct1546406074506
9364518507610
10116838136134
1145607099a95
121a788a32146
13b03010bbc5
145925447966
15308c5dc009
hex1b34187946

116838136134 has 96 divisors (see below), whose sum is σ = 276286140000. Its totient is φ = 35543273472.

The previous prime is 116838136133. The next prime is 116838136157. The reversal of 116838136134 is 431631838611.

116838136134 is a `hidden beast` number, since 1 + 16 + 8 + 3 + 8 + 13 + 613 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 116838136134.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116838136133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4440064 + ... + 4466300.

It is an arithmetic number, because the mean of its divisors is an integer number (2877980625).

Almost surely, 2116838136134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116838136134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138143070000).

116838136134 is an abundant number, since it is smaller than the sum of its proper divisors (159448003866).

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

116838136134 is a wasteful number, since it uses less digits than its factorization.

116838136134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26742 (or 26739 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The spelling of 116838136134 in words is "one hundred sixteen billion, eight hundred thirty-eight million, one hundred thirty-six thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 18 19 29 38 57 58 87 114 171 174 261 342 449 522 551 898 1102 1347 1653 2694 3306 4041 4959 8082 8531 9918 13021 17062 25593 26042 26237 39063 51186 52474 76779 78126 78711 117189 153558 157422 234378 236133 247399 472266 494798 498503 742197 760873 997006 1484394 1495509 1521746 2226591 2282619 2991018 4453182 4486527 4565238 6847857 8973054 11780413 13695714 14456587 23560826 28913174 35341239 43369761 70682478 86739522 106023717 130109283 212047434 223827847 260218566 341631977 447655694 671483541 683263954 1024895931 1342967082 2014450623 2049791862 3074687793 4028901246 6149375586 6491007563 12982015126 19473022689 38946045378 58419068067 116838136134