Search a number
-
+
133406804340667 = 1113956519753319
BaseRepresentation
bin11110010101010100110001…
…001011101110111110111011
3122111100120021120102020212001
4132111110301023232332323
5114441214113402400132
61151422123450201431
740046215655620504
oct3625246113567673
9574316246366761
10133406804340667
1139564565162140
1212b67170a23277
1359592913319b0
1424d2cd0c01bab
15106533cc51ce7
hex7955312eefbb

133406804340667 has 16 divisors (see below), whose sum is σ = 156731326859520. Its totient is φ = 111948584004000.

The previous prime is 133406804340661. The next prime is 133406804340679. The reversal of 133406804340667 is 766043408604331.

It is a cyclic number.

It is not a de Polignac number, because 133406804340667 - 219 = 133406803816379 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (133406804340661) 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 15 ways as a sum of consecutive naturals, for example, 8801434 + ... + 18554752.

It is an arithmetic number, because the mean of its divisors is an integer number (9795707928720).

Almost surely, 2133406804340667 is an apocalyptic number.

133406804340667 is a deficient number, since it is larger than the sum of its proper divisors (23324522518853).

133406804340667 is a wasteful number, since it uses less digits than its factorization.

133406804340667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9848994.

The product of its (nonzero) digits is 20901888, while the sum is 55.

The spelling of 133406804340667 in words is "one hundred thirty-three trillion, four hundred six billion, eight hundred four million, three hundred forty thousand, six hundred sixty-seven".

Divisors: 1 11 13 143 95651 1052161 1243463 9753319 13678093 107286509 126793147 1394724617 932914715669 10262061872359 12127891303697 133406804340667