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6980291721 = 341337179161
BaseRepresentation
bin1101000000000111…
…01100110010001001
3200000110122120010000
412200003230302021
5103243423313341
63112351513213
7334656333504
oct64003546211
920013576100
106980291721
112a62213537
121429828809
138731c5540
144a30aa13b
152acc248b6
hex1a00ecc89

6980291721 has 40 divisors (see below), whose sum is σ = 11533016264. Its totient is φ = 4179444480.

The previous prime is 6980291719. The next prime is 6980291723. The reversal of 6980291721 is 1271920896.

It is an interprime number because it is at equal distance from previous prime (6980291719) and next prime (6980291723).

It can be written as a sum of positive squares in 4 ways, for example, as 2728599696 + 4251692025 = 52236^2 + 65205^2 .

It is not a de Polignac number, because 6980291721 - 21 = 6980291719 is a prime.

It is a super-3 number, since 3×69802917213 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6980291723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 50620 + ... + 128541.

Almost surely, 26980291721 is an apocalyptic number.

It is an amenable number.

6980291721 is a deficient number, since it is larger than the sum of its proper divisors (4552724543).

6980291721 is a wasteful number, since it uses less digits than its factorization.

6980291721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179223 (or 179214 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The square root of 6980291721 is about 83548.1401408793. The cubic root of 6980291721 is about 1911.1342295103.

The spelling of 6980291721 in words is "six billion, nine hundred eighty million, two hundred ninety-one thousand, seven hundred twenty-one".

Divisors: 1 3 9 13 27 37 39 81 111 117 333 351 481 999 1053 1443 2997 4329 12987 38961 179161 537483 1612449 2329093 4837347 6628957 6987279 14512041 19886871 20961837 59660613 62885511 86176441 178981839 188656533 258529323 536945517 775587969 2326763907 6980291721