Search a number
-
+
6996832206 = 2372132532657
BaseRepresentation
bin1101000010000101…
…10010111111001110
3200001121202220101120
412201002302333032
5103312142112311
63114142221410
7335250043500
oct64102627716
920047686346
106996832206
112a70590661
121433284866
13876767100
144a5373d70
152ae3e0706
hex1a10b2fce

6996832206 has 144 divisors (see below), whose sum is σ = 17966187504. Its totient is φ = 1809819648.

The previous prime is 6996832133. The next prime is 6996832207. The reversal of 6996832206 is 6022386996.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6996832207) 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 71 ways as a sum of consecutive naturals, for example, 2632030 + ... + 2634686.

It is an arithmetic number, because the mean of its divisors is an integer number (124765191).

Almost surely, 26996832206 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6996832206, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8983093752).

6996832206 is an abundant number, since it is smaller than the sum of its proper divisors (10969355298).

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

6996832206 is a wasteful number, since it uses less digits than its factorization.

6996832206 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2755 (or 2735 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 51.

The square root of 6996832206 is about 83647.0693210467. The cubic root of 6996832206 is about 1912.6425786651.

The spelling of 6996832206 in words is "six billion, nine hundred ninety-six million, eight hundred thirty-two thousand, two hundred six".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 49 53 78 91 98 106 147 159 169 182 273 294 318 338 371 507 546 637 689 742 1014 1113 1183 1274 1378 1911 2067 2226 2366 2597 2657 3549 3822 4134 4823 5194 5314 7098 7791 7971 8281 8957 9646 14469 15582 15942 16562 17914 18599 24843 26871 28938 33761 34541 37198 49686 53742 55797 62699 67522 69082 101283 103623 111594 125398 130193 140821 188097 202566 207246 241787 260386 281642 376194 390579 422463 438893 449033 483574 725361 781158 844926 877786 898066 985747 1316679 1347099 1450722 1692509 1830673 1971494 2633358 2694198 2957241 3143231 3385018 3661346 5077527 5492019 5914482 6286462 6900229 9429693 10155054 10984038 12814711 13800458 18859386 20700687 22002617 23798749 25629422 38444133 41401374 44005234 47597498 66007851 71396247 76888266 89702977 132015702 142792494 166591243 179405954 269108931 333182486 499773729 538217862 999547458 1166138701 2332277402 3498416103 6996832206