Search a number
-
+
115638671382 = 231331433711027
BaseRepresentation
bin110101110110010011…
…0100001100000010110
3102001111001120011100220
41223230212201200112
53343311444441012
6125042414015210
711232430326423
oct1535446414026
9361431504326
10115638671382
1145051019403
121a4b31a7506
13ab9b774250
145850016d4a
15301c15a08c
hex1aec9a1816

115638671382 has 64 divisors (see below), whose sum is σ = 257184958464. Its totient is φ = 34422289920.

The previous prime is 115638671381. The next prime is 115638671387. The reversal of 115638671382 is 283176836511.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115638671381) 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 31 ways as a sum of consecutive naturals, for example, 10481353 + ... + 10492379.

It is an arithmetic number, because the mean of its divisors is an integer number (4018514976).

Almost surely, 2115638671382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115638671382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128592479232).

115638671382 is an abundant number, since it is smaller than the sum of its proper divisors (141546287082).

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

115638671382 is a wasteful number, since it uses less digits than its factorization.

115638671382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15413.

The product of its digits is 1451520, while the sum is 51.

The spelling of 115638671382 in words is "one hundred fifteen billion, six hundred thirty-eight million, six hundred seventy-one thousand, three hundred eighty-two".

Divisors: 1 2 3 6 13 26 31 39 62 78 93 186 403 806 1209 2418 4337 8674 11027 13011 22054 26022 33081 56381 66162 112762 134447 143351 169143 268894 286702 338286 341837 403341 430053 683674 806682 860106 1025511 1747811 2051022 3495622 4443881 5243433 8887762 10486866 13331643 26663286 47824099 95648198 143472297 286944594 621713287 1243426574 1482547069 1865139861 2965094138 3730279722 4447641207 8895282414 19273111897 38546223794 57819335691 115638671382