Search a number
-
+
151864999682085 = 345541969196403
BaseRepresentation
bin100010100001111011010011…
…010111000010000000100101
3201220201011002221101221010000
4202201323103113002000211
5124401124004404311320
61254553452343451513
743662612156403644
oct4241732327020045
9656634087357100
10151864999682085
1144430648232078
1215048555156b99
136697a672b8261
14297043b69935b
1512855555ccc90
hex8a1ed35c2025

151864999682085 has 40 divisors (see below), whose sum is σ = 272282314027680. Its totient is φ = 80979718903776.

The previous prime is 151864999682069. The next prime is 151864999682107. The reversal of 151864999682085 is 580286999468151.

151864999682085 is a `hidden beast` number, since 1 + 5 + 18 + 6 + 499 + 96 + 8 + 20 + 8 + 5 = 666.

It is not a de Polignac number, because 151864999682085 - 24 = 151864999682069 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 151864999681995 and 151864999682013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 32403507 + ... + 36792896.

It is an arithmetic number, because the mean of its divisors is an integer number (6807057850692).

Almost surely, 2151864999682085 is an apocalyptic number.

151864999682085 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

151864999682085 is a deficient number, since it is larger than the sum of its proper divisors (120417314345595).

151864999682085 is an equidigital number, since it uses as much as digits as its factorization.

151864999682085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69201839 (or 69201830 counting only the distinct ones).

The product of its (nonzero) digits is 2687385600, while the sum is 81.

The spelling of 151864999682085 in words is "one hundred fifty-one trillion, eight hundred sixty-four billion, nine hundred ninety-nine million, six hundred eighty-two thousand, eighty-five".

Divisors: 1 3 5 9 15 27 45 81 135 405 5419 16257 27095 48771 81285 146313 243855 438939 731565 2194695 69196403 207589209 345982015 622767627 1037946045 1868302881 3113838135 5604908643 9341514405 28024543215 374975307857 1124925923571 1874876539285 3374777770713 5624629617855 10124333312139 16873888853565 30372999936417 50621666560695 151864999682085