Search a number
-
+
3902032302093 = 323719759481293
BaseRepresentation
bin111000110010000011001…
…111111101000000001101
3111211000211100012000001100
4320302003033331000031
51002412330232131333
612144322514133313
7551624666213442
oct70620317750015
914730740160040
103902032302093
11127492a566182
125302a6881239
13223c63363113
14d6c061859c9
156b77a3b4213
hex38c833fd00d

3902032302093 has 24 divisors (see below), whose sum is σ = 5817984328728. Its totient is φ = 2518199978112.

The previous prime is 3902032302071. The next prime is 3902032302101.

3902032302093 is a `hidden beast` number, since 390 + 2 + 0 + 32 + 30 + 209 + 3 = 666.

3902032302093 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 1868790159369 + 2033242142724 = 1367037^2 + 1425918^2 .

It is a de Polignac number, because none of the positive numbers 2k-3902032302093 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3902032302013) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29675046 + ... + 29806247.

It is an arithmetic number, because the mean of its divisors is an integer number (242416013697).

Almost surely, 23902032302093 is an apocalyptic number.

It is an amenable number.

3902032302093 is a deficient number, since it is larger than the sum of its proper divisors (1915952026635).

3902032302093 is a wasteful number, since it uses less digits than its factorization.

3902032302093 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59481533 (or 59481530 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 36.

The spelling of 3902032302093 in words is "three trillion, nine hundred two billion, thirty-two million, three hundred two thousand, ninety-three".

Divisors: 1 3 9 37 111 197 333 591 1773 7289 21867 65601 59481293 178443879 535331637 2200807841 6602423523 11717814721 19807270569 35153444163 105460332489 433559144677 1300677434031 3902032302093