Search a number
-
+
36364155146363 = 1183101212013251
BaseRepresentation
bin10000100010010101100001…
…00011001101000001111011
311202202101020111101110010102
420101022300203031001323
514231242242204140423
6205201243502510015
710442136443520062
oct1021126043150173
9152671214343112
1036364155146363
111064aa51628820
1240b3749b9530b
13173a181b5a9c5
148da06a94d1d9
15430dad842c28
hex2112b08cd07b

36364155146363 has 48 divisors (see below), whose sum is σ = 40595625415296. Its totient is φ = 32299800000000.

The previous prime is 36364155146351. The next prime is 36364155146377.

36364155146363 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 36364155146363 - 212 = 36364155142267 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 36364155146299 and 36364155146308.

It is not an unprimeable number, because it can be changed into a prime (36364155146663) 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 47 ways as a sum of consecutive naturals, for example, 11185527488 + ... + 11185530738.

It is an arithmetic number, because the mean of its divisors is an integer number (845742196152).

Almost surely, 236364155146363 is an apocalyptic number.

36364155146363 is a deficient number, since it is larger than the sum of its proper divisors (4231470268933).

36364155146363 is a wasteful number, since it uses less digits than its factorization.

36364155146363 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4748 (or 4647 counting only the distinct ones).

The product of its digits is 41990400, while the sum is 56.

The spelling of 36364155146363 in words is "thirty-six trillion, three hundred sixty-four billion, one hundred fifty-five million, one hundred forty-six thousand, three hundred sixty-three".

Divisors: 1 11 83 101 913 1111 1201 3251 8383 10201 13211 35761 92213 99683 112211 121301 269833 328351 846683 1096513 1334311 2968163 3611861 3904451 9313513 10067983 12251401 27253133 33163451 42948961 110747813 134765411 299784463 324069433 364797961 394349551 1016866283 2752566433 3564763763 4337845061 11185529113 30278230763 32731012733 39829304651 360041140063 438122351161 3305832286033 36364155146363