Search a number
-
+
132050514042405 = 32572103315796811
BaseRepresentation
bin11110000001100101100111…
…111110110101111000100101
3122022112220110100221100222100
4132001211213332311320211
5114302003423043324110
61144503100234122313
736546222560403300
oct3601454776657045
9568486410840870
10132050514042405
11390913436997a2
1212988335b80399
13588b405219b7a
1424873c974bb37
15103ee0c109bc0
hex781967fb5e25

132050514042405 has 72 divisors (see below), whose sum is σ = 266282773402464. Its totient is φ = 60360095678400.

The previous prime is 132050514042341. The next prime is 132050514042449. The reversal of 132050514042405 is 504240415050231.

132050514042405 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 5 + 0 + 5 + 1 + 404 + 240 + 5 = 666.

It is not a de Polignac number, because 132050514042405 - 26 = 132050514042341 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 132050514042405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 19881450 + ... + 25678260.

It is an arithmetic number, because the mean of its divisors is an integer number (3698371852812).

Almost surely, 2132050514042405 is an apocalyptic number.

132050514042405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

132050514042405 is an abundant number, since it is smaller than the sum of its proper divisors (134232259360059).

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

132050514042405 is a wasteful number, since it uses less digits than its factorization.

132050514042405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5807167 (or 5807157 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

Adding to 132050514042405 its reverse (504240415050231), we get a palindrome (636290929092636).

The spelling of 132050514042405 in words is "one hundred thirty-two trillion, fifty billion, five hundred fourteen million, forty-two thousand, four hundred five".

Divisors: 1 3 5 7 9 15 21 35 45 49 63 105 147 245 315 441 735 2205 10331 30993 51655 72317 92979 154965 216951 361585 464895 506219 650853 1084755 1518657 2531095 3254265 4555971 5796811 7593285 17390433 22779855 28984055 40577677 52171299 86952165 121733031 202888385 260856495 284043739 365199093 608665155 852131217 1420218695 1825995465 2556393651 4260656085 12781968255 59886854441 179660563323 299434272205 419207981087 538981689969 898302816615 1257623943261 2096039905435 2694908449845 2934455867609 3772871829783 6288119716305 8803367602827 14672279338045 18864359148915 26410102808481 44016838014135 132050514042405