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868676192784 = 243210127692
BaseRepresentation
bin11001010010000010010…
…00101100101000010000
310002001012112111210202100
430221001020230220100
5103213022101132114
61503021521320400
7116521414544301
oct14510110545020
93061175453670
10868676192784
11305449078914
12120431a96100
1363bba071a3a
14300892207a8
15178e25ad909
hexca4122ca10

868676192784 has 135 divisors (see below), whose sum is σ = 2458592454279. Its totient is φ = 286319001600.

The previous prime is 868676192779. The next prime is 868676192821. The reversal of 868676192784 is 487291676868.

The square root of 868676192784 is 932028.

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 182694695184 + 685981497600 = 427428^2 + 828240^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 1129617552 + ... + 1129618320.

Almost surely, 2868676192784 is an apocalyptic number.

868676192784 is the 932028-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 868676192784

868676192784 is an abundant number, since it is smaller than the sum of its proper divisors (1589916261495).

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

868676192784 is an equidigital number, since it uses as much as digits as its factorization.

868676192784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1754 (or 875 counting only the distinct ones).

The product of its digits is 390168576, while the sum is 72.

The spelling of 868676192784 in words is "eight hundred sixty-eight billion, six hundred seventy-six million, one hundred ninety-two thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 101 144 202 303 404 606 769 808 909 1212 1538 1616 1818 2307 2424 3076 3636 4614 4848 6152 6921 7272 9228 10201 12304 13842 14544 18456 20402 27684 30603 36912 40804 55368 61206 77669 81608 91809 110736 122412 155338 163216 183618 233007 244824 310676 367236 466014 489648 591361 621352 699021 734472 932028 1182722 1242704 1398042 1468944 1774083 1864056 2365444 2796084 3548166 3728112 4730888 5322249 5592168 7096332 7844569 9461776 10644498 11184336 14192664 15689138 21288996 23533707 28385328 31378276 42577992 47067414 59727461 62756552 70601121 85155984 94134828 119454922 125513104 141202242 179182383 188269656 238909844 282404484 358364766 376539312 477819688 537547149 564808968 716729532 955639376 1075094298 1129617936 1433459064 2150188596 2866918128 4300377192 6032473561 8600754384 12064947122 18097420683 24129894244 36194841366 48259788488 54292262049 72389682732 96519576976 108584524098 144779365464 217169048196 289558730928 434338096392 868676192784