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6666034401 = 341316693793
BaseRepresentation
bin1100011010101001…
…11001110011100001
3122012120022122010000
412031110321303201
5102123001100101
63021244130213
7324122233425
oct61524716341
918176278100
106666034401
112910891344
121360536969
13823075170
14473464b85
1529034b486
hex18d539ce1

6666034401 has 40 divisors (see below), whose sum is σ = 10733150120. Its totient is φ = 4098636288.

The previous prime is 6666034399. The next prime is 6666034469. The reversal of 6666034401 is 1044306666.

It can be written as a sum of positive squares in 4 ways, for example, as 11390625 + 6654643776 = 3375^2 + 81576^2 .

It is not a de Polignac number, because 6666034401 - 21 = 6666034399 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (6666034481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1755561 + ... + 1759353.

It is an arithmetic number, because the mean of its divisors is an integer number (268328753).

Almost surely, 26666034401 is an apocalyptic number.

It is an amenable number.

6666034401 is a deficient number, since it is larger than the sum of its proper divisors (4067115719).

6666034401 is a wasteful number, since it uses less digits than its factorization.

6666034401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5487 (or 5478 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 6666034401 is about 81645.7861803045. The cubic root of 6666034401 is about 1882.0125574038.

The spelling of 6666034401 in words is "six billion, six hundred sixty-six million, thirty-four thousand, four hundred one".

Divisors: 1 3 9 13 27 39 81 117 351 1053 1669 3793 5007 11379 15021 21697 34137 45063 49309 65091 102411 135189 147927 195273 307233 443781 585819 1331343 1757457 3994029 6330517 18991551 56974653 82296721 170923959 246890163 512771877 740670489 2222011467 6666034401