Search a number
-
+
181336427325 = 3452531689601
BaseRepresentation
bin1010100011100001111…
…1100100101100111101
3122100001122110221220000
42220320133210230331
510432334111133300
6215145500544513
716046454125454
oct2507037445475
9570048427800
10181336427325
116a9a475a879
122b189252139
131413b794b51
148ac34bdb9b
154ab4be1c00
hex2a387e4b3d

181336427325 has 60 divisors (see below), whose sum is σ = 342235643508. Its totient is φ = 94887936000.

The previous prime is 181336427317. The next prime is 181336427423. The reversal of 181336427325 is 523724633181.

181336427325 is a `hidden beast` number, since 1 + 8 + 13 + 364 + 273 + 2 + 5 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1294056729 + 180042370596 = 35973^2 + 424314^2 .

It is not a de Polignac number, because 181336427325 - 23 = 181336427317 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 737476 + ... + 952125.

Almost surely, 2181336427325 is an apocalyptic number.

181336427325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

181336427325 is a deficient number, since it is larger than the sum of its proper divisors (160899216183).

181336427325 is a wasteful number, since it uses less digits than its factorization.

181336427325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1689676 (or 1689662 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The spelling of 181336427325 in words is "one hundred eighty-one billion, three hundred thirty-six million, four hundred twenty-seven thousand, three hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 53 75 81 135 159 225 265 405 477 675 795 1325 1431 2025 2385 3975 4293 7155 11925 21465 35775 107325 1689601 5068803 8448005 15206409 25344015 42240025 45619227 76032045 89548853 126720075 136857681 228096135 268646559 380160225 447744265 684288405 805939677 1140480675 1343232795 2238721325 2417819031 3421442025 4029698385 6716163975 7253457093 12089095155 20148491925 36267285465 60445475775 181336427325