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6862134244 = 2272612972
BaseRepresentation
bin1100110010000001…
…11101101111100100
3122201020022112112011
412121000331233210
5103023201243434
63052531204004
7332023115200
oct63100755744
918636275464
106862134244
112a01550029
1213b6146604
13854895184
1449150db00
152a2684e64
hex19903dbe4

6862134244 has 81 divisors (see below), whose sum is σ = 14350027419. Its totient is φ = 2862881280.

The previous prime is 6862134233. The next prime is 6862134283. The reversal of 6862134244 is 4424312686.

The square root of 6862134244 is 82838.

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 2547220900 + 4314913344 = 50470^2 + 65688^2 .

It is a junction number, because it is equal to n+sod(n) for n = 6862134197 and 6862134206.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 70743604 + ... + 70743700.

Almost surely, 26862134244 is an apocalyptic number.

6862134244 is the 82838-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6862134244

6862134244 is an abundant number, since it is smaller than the sum of its proper divisors (7487893175).

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

6862134244 is an equidigital number, since it uses as much as digits as its factorization.

6862134244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 167 counting only the distinct ones).

The product of its digits is 221184, while the sum is 40.

The cubic root of 6862134244 is about 1900.2893598079.

The spelling of 6862134244 in words is "six billion, eight hundred sixty-two million, one hundred thirty-four thousand, two hundred forty-four".

Divisors: 1 2 4 7 14 28 49 61 97 98 122 194 196 244 388 427 679 854 1358 1708 2716 2989 3721 4753 5917 5978 7442 9409 9506 11834 11956 14884 18818 19012 23668 26047 37636 41419 52094 65863 82838 104188 131726 165676 182329 263452 289933 360937 364658 461041 573949 579866 721874 729316 922082 1147898 1159732 1443748 1844164 2295796 2526559 4017643 5053118 8035286 10106236 16070572 17685913 28123501 35010889 35371826 56247002 70021778 70743652 112494004 140043556 245076223 490152446 980304892 1715533561 3431067122 6862134244