Search a number
-
+
118842934388688 = 2436232063214733
BaseRepresentation
bin11011000001011001000110…
…111000110110011111010000
3120120210021101102200212000000
4123001121012320312133100
5111034110312200414223
61100431405041130000
734014055462600026
oct3301310670663720
9516707342625000
10118842934388688
113495a007262884
12113b4682329900
135140ac0b159b3
14214c058b1a716
15db159dd85543
hex6c1646e367d0

118842934388688 has 280 divisors, whose sum is σ = 360415619995392. Its totient is φ = 37873406317824.

The previous prime is 118842934388669. The next prime is 118842934388701. The reversal of 118842934388688 is 886883439248811.

118842934388688 is a `hidden beast` number, since 1 + 1 + 8 + 8 + 4 + 29 + 3 + 438 + 86 + 88 = 666.

It is a super-2 number, since 2×1188429343886882 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 553337770 + ... + 553552502.

Almost surely, 2118842934388688 is an apocalyptic number.

118842934388688 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 118842934388688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180207809997696).

118842934388688 is an abundant number, since it is smaller than the sum of its proper divisors (241572685606704).

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

118842934388688 is a wasteful number, since it uses less digits than its factorization.

118842934388688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216845 (or 216824 counting only the distinct ones).

The product of its digits is 4076863488, while the sum is 81.

The spelling of 118842934388688 in words is "one hundred eighteen trillion, eight hundred forty-two billion, nine hundred thirty-four million, three hundred eighty-eight thousand, six hundred eighty-eight".