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9986219369604 = 22344194
BaseRepresentation
bin1001000101010001100100…
…0011101110010010000100
31022100200011210112200210000
42101110121003232102010
52302103234124311404
633123334510201300
72050323553045302
oct221243103562204
938320153480700
109986219369604
11320014a548485
1211534907b3230
1357590912615a
1426749ac3b272
15124b701e3339
hex915190ee484

9986219369604 has 75 divisors (see below), whose sum is σ = 26168404444567. Its totient is φ = 3320795303496.

The previous prime is 9986219369569. The next prime is 9986219369671. The reversal of 9986219369604 is 4069639126899.

The square root of 9986219369604 is 3160098.

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

9986219369604 is a `hidden beast` number, since 9 + 9 + 8 + 6 + 2 + 1 + 9 + 3 + 6 + 9 + 604 = 666.

It is an ABA number since it can be written as A⋅BA, here for A=4, B=1257.

It is a super-2 number, since 2×99862193696042 (a number of 27 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

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 24 ways as a sum of consecutive naturals, for example, 23833458907 + ... + 23833459325.

Almost surely, 29986219369604 is an apocalyptic number.

9986219369604 is the 3160098-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9986219369604

9986219369604 is an abundant number, since it is smaller than the sum of its proper divisors (16182185074963).

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

9986219369604 is an frugal number, since it uses more digits than its factorization.

9986219369604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1692 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 272097792, while the sum is 72.

The spelling of 9986219369604 in words is "nine trillion, nine hundred eighty-six billion, two hundred nineteen million, three hundred sixty-nine thousand, six hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 419 838 1257 1676 2514 3771 5028 7542 11313 15084 22626 33939 45252 67878 135756 175561 351122 526683 702244 1053366 1580049 2106732 3160098 4740147 6320196 9480294 14220441 18960588 28440882 56881764 73560059 147120118 220680177 294240236 441360354 662040531 882720708 1324081062 1986121593 2648162124 3972243186 5958364779 7944486372 11916729558 23833459116 30821664721 61643329442 92464994163 123286658884 184929988326 277394982489 369859976652 554789964978 832184947467 1109579929956 1664369894934 2496554842401 3328739789868 4993109684802 9986219369604