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18724073082 = 231113231635821
BaseRepresentation
bin10001011100000010…
…101010111001111010
31210022220122110120020
4101130002222321322
5301321330314312
612333545511310
71231666665231
oct213402527172
953286573506
1018724073082
117a39284270
1237667a2536
1319c524acb0
14c98a6db18
15748c3378c
hex45c0aae7a

18724073082 has 128 divisors (see below), whose sum is σ = 46197430272. Its totient is φ = 4978195200.

The previous prime is 18724073021. The next prime is 18724073111. The reversal of 18724073082 is 28037042781.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax 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 63 ways as a sum of consecutive naturals, for example, 3213732 + ... + 3219552.

It is an arithmetic number, because the mean of its divisors is an integer number (360917424).

Almost surely, 218724073082 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18724073082, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23098715136).

18724073082 is an abundant number, since it is smaller than the sum of its proper divisors (27473357190).

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

18724073082 is a wasteful number, since it uses less digits than its factorization.

18724073082 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6036.

The product of its (nonzero) digits is 150528, while the sum is 42.

The spelling of 18724073082 in words is "eighteen billion, seven hundred twenty-four million, seventy-three thousand, eighty-two".

Divisors: 1 2 3 6 11 13 22 23 26 33 39 46 66 69 78 138 143 163 253 286 299 326 429 489 506 598 759 858 897 978 1518 1793 1794 2119 3289 3586 3749 4238 5379 5821 6357 6578 7498 9867 10758 11247 11642 12714 17463 19734 22494 23309 34926 41239 46618 48737 64031 69927 75673 82478 97474 123717 128062 133883 139854 146211 151346 192093 227019 247434 267766 292422 384186 401649 454038 536107 803298 832403 948823 1072214 1472713 1608321 1664806 1740479 1897646 2497209 2846469 2945426 3216642 3480958 4418139 4994418 5221437 5692938 8836278 10437053 10442874 12334699 19145269 20874106 21822929 24669398 31311159 37004097 38290538 43645858 57435807 62622318 65468787 74008194 114871614 130937574 135681689 240052219 271363378 283698077 407045067 480104438 567396154 720156657 814090134 851094231 1440313314 1702188462 3120678847 6241357694 9362036541 18724073082