Search a number
-
+
4006312068717 = 33723988692127
BaseRepresentation
bin111010010011001010110…
…011101100011001101101
3112011222222202222000102000
4322103022303230121231
51011114411342144332
612304250243322513
7562306101464610
oct72231263543155
915158882860360
104006312068717
11130508179a292
12548549980439
13230a4172963a
14dbc99784177
156e3301d7b7c
hex3a4cacec66d

4006312068717 has 32 divisors (see below), whose sum is σ = 6811555430400. Its totient is φ = 2279742406704.

The previous prime is 4006312068713. The next prime is 4006312068761. The reversal of 4006312068717 is 7178602136004.

4006312068717 is a `hidden beast` number, since 4 + 0 + 0 + 631 + 2 + 0 + 6 + 8 + 7 + 1 + 7 = 666.

It is not a de Polignac number, because 4006312068717 - 22 = 4006312068713 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4006312068713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44300893 + ... + 44391234.

It is an arithmetic number, because the mean of its divisors is an integer number (212861107200).

Almost surely, 24006312068717 is an apocalyptic number.

It is an amenable number.

4006312068717 is a deficient number, since it is larger than the sum of its proper divisors (2805243361683).

4006312068717 is a wasteful number, since it uses less digits than its factorization.

4006312068717 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88692382 (or 88692376 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 4006312068717 in words is "four trillion, six billion, three hundred twelve million, sixty-eight thousand, seven hundred seventeen".

Divisors: 1 3 7 9 21 27 63 189 239 717 1673 2151 5019 6453 15057 45171 88692127 266076381 620844889 798229143 1862534667 2394687429 5587604001 16762812003 21197418353 63592255059 148381928471 190776765177 445145785413 572330295531 1335437356239 4006312068717