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7642341693 = 327217329573
BaseRepresentation
bin1110001111000010…
…01110000100111101
3201201121102011221100
413013201032010331
5111122414413233
63302201523313
7360245555400
oct70741160475
921647364840
107642341693
1132719a2478
1215934a3539
1394a40819c
14526da5d37
152eadec813
hex1c784e13d

7642341693 has 18 divisors (see below), whose sum is σ = 12841214334. Its totient is φ = 4367052144.

The previous prime is 7642341689. The next prime is 7642341697. The reversal of 7642341693 is 3961432467.

It is an interprime number because it is at equal distance from previous prime (7642341689) and next prime (7642341697).

It can be written as a sum of positive squares in only one way, i.e., 4030091289 + 3612250404 = 63483^2 + 60102^2 .

It is not a de Polignac number, because 7642341693 - 22 = 7642341689 is a prime.

It is a super-2 number, since 2×76423416932 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7642341697) 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 17 ways as a sum of consecutive naturals, for example, 8664346 + ... + 8665227.

Almost surely, 27642341693 is an apocalyptic number.

It is an amenable number.

7642341693 is a deficient number, since it is larger than the sum of its proper divisors (5198872641).

7642341693 is a wasteful number, since it uses less digits than its factorization.

7642341693 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17329593 (or 17329583 counting only the distinct ones).

The product of its digits is 653184, while the sum is 45.

The square root of 7642341693 is about 87420.4878332305. The cubic root of 7642341693 is about 1969.7396044118.

The spelling of 7642341693 in words is "seven billion, six hundred forty-two million, three hundred forty-one thousand, six hundred ninety-three".

Divisors: 1 3 7 9 21 49 63 147 441 17329573 51988719 121307011 155966157 363921033 849149077 1091763099 2547447231 7642341693