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18165109284 = 22327232092
BaseRepresentation
bin10000111010101110…
…011001001000100100
31201212221212011101100
4100322232121020210
5244200231444114
612202301200100
71212101611200
oct207256311044
951787764340
1018165109284
117781804513
12362b560030
1319364bc79a
14c44729b00
15714b1e909
hex43ab99224

18165109284 has 81 divisors (see below), whose sum is σ = 53430721617. Its totient is φ = 5188413888.

The previous prime is 18165109273. The next prime is 18165109307. The reversal of 18165109284 is 48290156181.

It is a happy number.

The square root of 18165109284 is 134778.

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., 10236987684 + 7928121600 = 101178^2 + 89040^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5659072 + ... + 5662280.

Almost surely, 218165109284 is an apocalyptic number.

18165109284 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

18165109284 is the 134778-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18165109284

18165109284 is an abundant number, since it is smaller than the sum of its proper divisors (35265612333).

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

18165109284 is an equidigital number, since it uses as much as digits as its factorization.

18165109284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6442 (or 3221 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

It can be divided in two parts, 18165 and 109284, that added together give a square (127449 = 3572).

The spelling of 18165109284 in words is "eighteen billion, one hundred sixty-five million, one hundred nine thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 3209 6418 9627 12836 19254 22463 28881 38508 44926 57762 67389 89852 115524 134778 157241 202167 269556 314482 404334 471723 628964 808668 943446 1415169 1886892 2830338 5660676 10297681 20595362 30893043 41190724 61786086 72083767 92679129 123572172 144167534 185358258 216251301 288335068 370716516 432502602 504586369 648753903 865005204 1009172738 1297507806 1513759107 2018345476 2595015612 3027518214 4541277321 6055036428 9082554642 18165109284