Search a number
-
+
133004313503055 = 32531862711051767
BaseRepresentation
bin11110001111011101111010…
…110111000010010101001111
3122102221002101021220020000100
4132033131322313002111033
5114413120313224044210
61150513201010502143
740005146610141321
oct3617357267022517
9572832337806010
10133004313503055
11394198a3614665
1212b01163594953
13592a339951757
1424bb62bcd5611
151059b3283c5c0
hex78f77adc254f

133004313503055 has 48 divisors (see below), whose sum is σ = 238005217142784. Its totient is φ = 68639424131520.

The previous prime is 133004313503053. The next prime is 133004313503099. The reversal of 133004313503055 is 550305313400331.

133004313503055 is a `hidden beast` number, since 1 + 3 + 30 + 0 + 4 + 313 + 5 + 0 + 305 + 5 = 666.

It is not a de Polignac number, because 133004313503055 - 21 = 133004313503053 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133004313503053) 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, 6508782 + ... + 17560548.

It is an arithmetic number, because the mean of its divisors is an integer number (4958442023808).

Almost surely, 2133004313503055 is an apocalyptic number.

133004313503055 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

133004313503055 is a deficient number, since it is larger than the sum of its proper divisors (105000903639729).

133004313503055 is a wasteful number, since it uses less digits than its factorization.

133004313503055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11060436 (or 11060433 counting only the distinct ones).

The product of its (nonzero) digits is 121500, while the sum is 36.

Adding to 133004313503055 its reverse (550305313400331), we get a palindrome (683309626903386).

The spelling of 133004313503055 in words is "one hundred thirty-three trillion, four billion, three hundred thirteen million, five hundred three thousand, fifty-five".

Divisors: 1 3 5 9 15 31 45 93 155 279 465 1395 8627 25881 43135 77643 129405 267437 388215 802311 1337185 2406933 4011555 11051767 12034665 33155301 55258835 99465903 165776505 342604777 497329515 1027814331 1713023885 3083442993 5139071655 15417214965 95343593909 286030781727 476717969545 858092345181 1430153908635 2955651411179 4290461725905 8866954233537 14778257055895 26600862700611 44334771167685 133004313503055