Search a number
-
+
115613631405064 = 2313199100918233037
BaseRepresentation
bin11010010010011001100101…
…011011100101110000001000
3120011100112222202102002101201
4122102121211123211300020
5110123203204114430224
61045520100302553544
733231544364253532
oct3222314533456010
9504315882362351
10115613631405064
1133924513983671
1210b728432988b4
134c6841b137b80
142079a300d6852
15d57598876a44
hex6926656e5c08

115613631405064 has 128 divisors (see below), whose sum is σ = 235062455040000. Its totient is φ = 52992828370944.

The previous prime is 115613631405043. The next prime is 115613631405101. The reversal of 115613631405064 is 460504136316511.

115613631405064 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38068365754 + ... + 38068368790.

It is an arithmetic number, because the mean of its divisors is an integer number (1836425430000).

Almost surely, 2115613631405064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115613631405064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117531227520000).

115613631405064 is an abundant number, since it is smaller than the sum of its proper divisors (119448823634936).

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

115613631405064 is a wasteful number, since it uses less digits than its factorization.

115613631405064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6087 (or 6083 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 46.

The spelling of 115613631405064 in words is "one hundred fifteen trillion, six hundred thirteen billion, six hundred thirty-one million, four hundred five thousand, sixty-four".

Divisors: 1 2 4 8 13 26 52 104 199 398 796 1009 1592 1823 2018 2587 3037 3646 4036 5174 6074 7292 8072 10348 12148 13117 14584 20696 23699 24296 26234 39481 47398 52468 78962 94796 104936 157924 189592 200791 315848 362777 401582 604363 725554 803164 1208726 1451108 1606328 1839407 2417452 2610283 2902216 3064333 3678814 4716101 4834904 5220566 5536451 6128666 7357628 7856719 9432202 10441132 11072902 12257332 14715256 15713438 18864404 20882264 22145804 23912291 24514664 31426876 37728808 39836329 44291608 47824582 62853752 71973863 79672658 95649164 143947726 159345316 191298328 287895452 318690632 366041993 575790904 609802267 732083986 1101753749 1219604534 1464167972 2203507498 2439209068 2928335944 4407014996 4758545909 4878418136 5586279059 7927429471 8814029992 9517091818 11172558118 14322798737 15854858942 19034183636 22345116236 28645597474 31709717884 38068367272 44690232472 57291194948 63419435768 72621627767 114582389896 145243255534 290486511068 580973022136 1111669532741 2223339065482 4446678130964 8893356261928 14451703925633 28903407851266 57806815702532 115613631405064