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19784110336 = 285921492
BaseRepresentation
bin10010011011001110…
…011001000100000000
31220001210021221022021
4102123032121010000
5311004213012321
613031054051224
71300161106654
oct223316310400
956053257267
1019784110336
118432683a11
123a017a9b14
131b33a49083
14d59768a64
157abd23941
hex49b399100

19784110336 has 81 divisors (see below), whose sum is σ = 40443039301. Its totient is φ = 9659128832.

The previous prime is 19784110303. The next prime is 19784110351. The reversal of 19784110336 is 63301148791.

The square root of 19784110336 is 140656.

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

It can be written as a sum of positive squares in only one way, i.e., 2317844736 + 17466265600 = 48144^2 + 132160^2 .

It is a super-2 number, since 2×197841103362 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 19784110292 and 19784110301.

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 8 ways as a sum of consecutive naturals, for example, 132779190 + ... + 132779338.

Almost surely, 219784110336 is an apocalyptic number.

19784110336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

19784110336 is the 140656-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19784110336

19784110336 is an abundant number, since it is smaller than the sum of its proper divisors (20658928965).

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

19784110336 is an frugal number, since it uses more digits than its factorization.

19784110336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 43.

The spelling of 19784110336 in words is "nineteen billion, seven hundred eighty-four million, one hundred ten thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 32 59 64 118 128 149 236 256 298 472 596 944 1192 1888 2384 3481 3776 4768 6962 7552 8791 9536 13924 15104 17582 19072 22201 27848 35164 38144 44402 55696 70328 88804 111392 140656 177608 222784 281312 355216 445568 518669 562624 710432 891136 1037338 1125248 1309859 1420864 2074676 2250496 2619718 2841728 4149352 5239436 5683456 8298704 10478872 16597408 20957744 33194816 41915488 66389632 77281681 83830976 132779264 154563362 167661952 309126724 335323904 618253448 1236506896 2473013792 4946027584 9892055168 19784110336