Search a number
-
+
393714141768 = 23325468251969
BaseRepresentation
bin1011011101010110011…
…00010000101001001000
31101122020121121200112200
411232223030100221020
522422311310014033
6500511512240200
740305413662503
oct5565314205110
91348217550480
10393714141768
11141a78407042
126437a0a0060
132b1862865bc
14150ad42213a
15a394b47013
hex5bab310a48

393714141768 has 24 divisors (see below), whose sum is σ = 1066309134150. Its totient is φ = 131238047232.

The previous prime is 393714141739. The next prime is 393714141781. The reversal of 393714141768 is 867141417393.

393714141768 is a `hidden beast` number, since 3 + 93 + 71 + 414 + 1 + 76 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 248859304164 + 144854837604 = 498858^2 + 380598^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×3937141417682 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 2734125913 + ... + 2734126056.

Almost surely, 2393714141768 is an apocalyptic number.

It is an amenable number.

393714141768 is an abundant number, since it is smaller than the sum of its proper divisors (672594992382).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

393714141768 is a wasteful number, since it uses less digits than its factorization.

393714141768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5468251981 (or 5468251974 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 54.

The spelling of 393714141768 in words is "three hundred ninety-three billion, seven hundred fourteen million, one hundred forty-one thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 5468251969 10936503938 16404755907 21873007876 32809511814 43746015752 49214267721 65619023628 98428535442 131238047256 196857070884 393714141768