Search a number
-
+
116133135534 = 2351361301333
BaseRepresentation
bin110110000101000010…
…0110000010010101110
3102002202111222112200000
41230022010300102232
53400320040314114
6125203440045130
711250613236033
oct1541204602256
9362674875600
10116133135534
1145285144669
121a6109037a6
13ac4a03b6a0
14589996b38a
15304a77ce09
hex1b0a1304ae

116133135534 has 96 divisors (see below), whose sum is σ = 285621239904. Its totient is φ = 35147364480.

The previous prime is 116133135509. The next prime is 116133135551. The reversal of 116133135534 is 435531331611.

116133135534 is a `hidden beast` number, since 1 + 1 + 61 + 3 + 31 + 35 + 534 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 234732 + ... + 536064.

It is an arithmetic number, because the mean of its divisors is an integer number (2975221249).

Almost surely, 2116133135534 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116133135534, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142810619952).

116133135534 is an abundant number, since it is smaller than the sum of its proper divisors (169488104370).

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

116133135534 is a wasteful number, since it uses less digits than its factorization.

116133135534 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301424 (or 301412 counting only the distinct ones).

The product of its digits is 48600, while the sum is 36.

The spelling of 116133135534 in words is "one hundred sixteen billion, one hundred thirty-three million, one hundred thirty-five thousand, five hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 61 78 81 117 122 162 183 234 243 351 366 486 549 702 793 1053 1098 1586 1647 2106 2379 3159 3294 4758 4941 6318 7137 9882 14274 14823 21411 29646 42822 64233 128466 192699 301333 385398 602666 903999 1807998 2711997 3917329 5423994 7834658 8135991 11751987 16271982 18381313 23503974 24407973 35255961 36762626 48815946 55143939 70511922 73223919 105767883 110287878 146447838 165431817 211535766 238957069 317303649 330863634 477914138 496295451 634607298 716871207 951910947 992590902 1433742414 1488886353 1903821894 2150613621 2977772706 4301227242 4466659059 6451840863 8933318118 12903681726 19355522589 38711045178 58066567767 116133135534