Search a number
-
+
159718133268 = 223242013105601
BaseRepresentation
bin1001010010111111110…
…0010100111000010100
3120021021000211211112100
42110233330110320110
510104100320231033
6201212401522100
714352651506211
oct2245774247024
9507230754470
10159718133268
11618107a4551
1226b55343330
13120a4a4a685
147a32300b08
15424bd61513
hex252ff14e14

159718133268 has 36 divisors (see below), whose sum is σ = 403745380948. Its totient is φ = 53237606400.

The previous prime is 159718133261. The next prime is 159718133291. The reversal of 159718133268 is 862331817951.

159718133268 is a `hidden beast` number, since 1 + 597 + 1 + 8 + 13 + 32 + 6 + 8 = 666.

159718133268 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 142100349444 + 17617783824 = 376962^2 + 132732^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1597181332682 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (159718133261) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1459668 + ... + 1565268.

Almost surely, 2159718133268 is an apocalyptic number.

159718133268 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

159718133268 is an abundant number, since it is smaller than the sum of its proper divisors (244027247680).

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

159718133268 is a wasteful number, since it uses less digits than its factorization.

159718133268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147624 (or 147619 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 54.

The spelling of 159718133268 in words is "one hundred fifty-nine billion, seven hundred eighteen million, one hundred thirty-three thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 42013 84026 105601 126039 168052 211202 252078 316803 378117 422404 504156 633606 756234 950409 1267212 1512468 1900818 3801636 4436614813 8873229626 13309844439 17746459252 26619688878 39929533317 53239377756 79859066634 159718133268