Search a number
-
+
131778040206453 = 3172476075327671
BaseRepresentation
bin11101111101100111110111…
…010001101001010001110101
3122021120212011012100100122120
4131331213313101221101311
5114233022411243101303
61144133555042150153
736520435453122024
oct3575476721512165
9567525135310576
10131778040206453
1138a96831282a03
1212943573052359
13586b8010b4bc4
14247813c2948bb
151037cb12b6553
hex77d9f7469475

131778040206453 has 48 divisors (see below), whose sum is σ = 190932853407744. Its totient is φ = 80791686132480.

The previous prime is 131778040206443. The next prime is 131778040206467. The reversal of 131778040206453 is 354602040877131.

It is a de Polignac number, because none of the positive numbers 2k-131778040206453 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 131778040206396 and 131778040206405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131778040206443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22070808 + ... + 27398478.

It is an arithmetic number, because the mean of its divisors is an integer number (3977767779328).

Almost surely, 2131778040206453 is an apocalyptic number.

It is an amenable number.

131778040206453 is a deficient number, since it is larger than the sum of its proper divisors (59154813201291).

131778040206453 is a wasteful number, since it uses less digits than its factorization.

131778040206453 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5328362 (or 5328345 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 51.

The spelling of 131778040206453 in words is "one hundred thirty-one trillion, seven hundred seventy-eight billion, forty million, two hundred six thousand, four hundred fifty-three".

Divisors: 1 3 17 47 51 141 289 607 799 867 1821 2397 10319 13583 28529 30957 40749 85587 175423 484993 526269 1454979 5327671 8244881 15983013 24734643 90570407 250400537 271711221 751201611 1539696919 3233896297 4256809129 4619090757 9701688891 12770427387 54976237049 72365755193 151993125959 164928711147 217097265579 455979377877 934596029833 2583883141303 2803788089499 7751649423909 43926013402151 131778040206453