Search a number
-
+
782309042349 = 34318119334699
BaseRepresentation
bin10110110001001010100…
…00001010100010101101
32202210021110110222100220
423120211100022202231
5100304132103323344
61355215433441553
7110343230100012
oct13304520124255
92683243428326
10782309042349
1128185907243a
121077498702b9
1358a04a918b3
1429c149c3709
151553a131c19
hexb62540a8ad

782309042349 has 16 divisors (see below), whose sum is σ = 1067398464000. Its totient is φ = 509380902576.

The previous prime is 782309042341. The next prime is 782309042351. The reversal of 782309042349 is 943240903287.

It is not a de Polignac number, because 782309042349 - 23 = 782309042341 is a prime.

It is a super-2 number, since 2×7823090423492 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (782309042341) 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 15 ways as a sum of consecutive naturals, for example, 2170002 + ... + 2504700.

It is an arithmetic number, because the mean of its divisors is an integer number (66712404000).

Almost surely, 2782309042349 is an apocalyptic number.

It is an amenable number.

782309042349 is a deficient number, since it is larger than the sum of its proper divisors (285089421651).

782309042349 is a wasteful number, since it uses less digits than its factorization.

782309042349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352864.

The product of its (nonzero) digits is 2612736, while the sum is 51.

The spelling of 782309042349 in words is "seven hundred eighty-two billion, three hundred nine million, forty-two thousand, three hundred forty-nine".

Divisors: 1 3 43 129 18119 54357 334699 779117 1004097 2337351 14392057 43176171 6064411181 18193233543 260769680783 782309042349