Search a number
-
+
115638845868 = 2232713101349493
BaseRepresentation
bin110101110110010011…
…1001100000110101100
3102001111001220000201100
41223230213030012230
53343312021031433
6125042421443100
711232431654220
oct1535447140654
9361431800640
10115638845868
1145051128507
121a4b3270490
13ab9b8057b0
145850060780
15301c191b13
hex1aec9cc1ac

115638845868 has 144 divisors (see below), whose sum is σ = 363328370496. Its totient is φ = 30196108800.

The previous prime is 115638845843. The next prime is 115638845899. The reversal of 115638845868 is 868548836511.

115638845868 is a `hidden beast` number, since 1 + 1 + 563 + 8 + 8 + 4 + 5 + 8 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 156130 + ... + 505622.

It is an arithmetic number, because the mean of its divisors is an integer number (2523113684).

Almost surely, 2115638845868 is an apocalyptic number.

115638845868 is a gapful number since it is divisible by the number (18) 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 115638845868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181664185248).

115638845868 is an abundant number, since it is smaller than the sum of its proper divisors (247689524628).

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

115638845868 is a wasteful number, since it uses less digits than its factorization.

115638845868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349624 (or 349619 counting only the distinct ones).

The product of its digits is 44236800, while the sum is 63.

The spelling of 115638845868 in words is "one hundred fifteen billion, six hundred thirty-eight million, eight hundred forty-five thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 101 117 126 156 182 202 234 252 273 303 364 404 468 546 606 707 819 909 1092 1212 1313 1414 1638 1818 2121 2626 2828 3276 3636 3939 4242 5252 6363 7878 8484 9191 11817 12726 15756 18382 23634 25452 27573 36764 47268 55146 82719 110292 165438 330876 349493 698986 1048479 1397972 2096958 2446451 3145437 4193916 4543409 4892902 6290874 7339353 9086818 9785804 12581748 13630227 14678706 18173636 22018059 27260454 29357412 31803863 35298793 40890681 44036118 54520908 63607726 70597586 81781362 88072236 95411589 105896379 127215452 141195172 163562724 190823178 211792758 247091551 286234767 317689137 381646356 423585516 458884309 494183102 572469534 635378274 741274653 917768618 988366204 1144939068 1270756548 1376652927 1482549306 1835537236 2223823959 2753305854 2965098612 3212190163 4129958781 4447647918 5506611708 6424380326 8259917562 8895295836 9636570489 12848760652 16519835124 19273140978 28909711467 38546281956 57819422934 115638845868