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6999686158864 = 247261215492
BaseRepresentation
bin110010111011011110111…
…0011101001101000010000
3220210011102011102012021111
41211312331303221220100
51404140324124040424
622515340022503104
71321465514442400
oct145667563515020
926704364365244
106999686158864
11225960639a903
12950704894a94
133ba0b55c2809
141a2b0269c800
15c2127da9194
hex65dbdce9a10

6999686158864 has 135 divisors (see below), whose sum is σ = 16049303417511. Its totient is φ = 2948782475520.

The previous prime is 6999686158819. The next prime is 6999686158867. The reversal of 6999686158864 is 4688516869996.

The square root of 6999686158864 is 2645692.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 3382995061264 + 3616691097600 = 1839292^2 + 1901760^2 .

It is not an unprimeable number, because it can be changed into a prime (6999686158867) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4518841162 + ... + 4518842710.

Almost surely, 26999686158864 is an apocalyptic number.

6999686158864 is the 2645692-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6999686158864

6999686158864 is an abundant number, since it is smaller than the sum of its proper divisors (9049617258647).

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

6999686158864 is an frugal number, since it uses more digits than its factorization.

6999686158864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3242 (or 1619 counting only the distinct ones).

The product of its digits is 9674588160, while the sum is 85.

The spelling of 6999686158864 in words is "six trillion, nine hundred ninety-nine billion, six hundred eighty-six million, one hundred fifty-eight thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 61 98 112 122 196 244 392 427 488 784 854 976 1549 1708 2989 3098 3416 3721 5978 6196 6832 7442 10843 11956 12392 14884 21686 23912 24784 26047 29768 43372 47824 52094 59536 75901 86744 94489 104188 151802 173488 182329 188978 208376 303604 364658 377956 416752 607208 661423 729316 755912 1214416 1322846 1458632 1511824 2399401 2645692 2917264 4629961 4798802 5291384 5763829 9259922 9597604 10582768 11527658 16795807 18519844 19195208 23055316 33591614 37039688 38390416 40346803 46110632 67183228 74079376 80693606 92221264 117570649 134366456 146363461 161387212 235141298 268732912 282427621 292726922 322774424 470282596 564855242 585453844 645548848 940565192 1024544227 1129710484 1170907688 1881130384 2049088454 2259420968 2341815376 4098176908 4518841936 7171809589 8196353816 8928171121 14343619178 16392707632 17856342242 28687238356 35712684484 57374476712 62497197847 71425368968 114748953424 124994395694 142850737936 249988791388 437480384929 499977582776 874960769858 999955165552 1749921539716 3499843079432 6999686158864