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18012860944 = 24132292892
BaseRepresentation
bin10000110001101001…
…100111001000010000
31201111100101010220221
4100301221213020100
5243342243022234
612135222042424
71205242535401
oct206151471020
951440333827
1018012860944
117703877041
1235a8579414
131910ab4400
14c2c4179a8
15706598eb4
hex431a67210

18012860944 has 135 divisors (see below), whose sum is σ = 39583817013. Its totient is φ = 7936760832.

The previous prime is 18012860939. The next prime is 18012860963. The reversal of 18012860944 is 44906821081.

The square root of 18012860944 is 134212.

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

It can be written as a sum of positive squares in 13 ways, for example, as 17875690000 + 137170944 = 133700^2 + 11712^2 .

It is a super-2 number, since 2×180128609442 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 18012860944.

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, 202391652 + ... + 202391740.

Almost surely, 218012860944 is an apocalyptic number.

18012860944 is the 134212-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18012860944

18012860944 is an abundant number, since it is smaller than the sum of its proper divisors (21570956069).

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

18012860944 is an equidigital number, since it uses as much as digits as its factorization.

18012860944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 43.

The spelling of 18012860944 in words is "eighteen billion, twelve million, eight hundred sixty thousand, nine hundred forty-four".

Divisors: 1 2 4 8 13 16 26 29 52 58 89 104 116 169 178 208 232 338 356 377 464 676 712 754 841 1157 1352 1424 1508 1682 2314 2581 2704 3016 3364 4628 4901 5162 6032 6728 7921 9256 9802 10324 10933 13456 15041 15842 18512 19604 20648 21866 30082 31684 33553 39208 41296 43732 60164 63368 67106 74849 78416 87464 102973 120328 126736 134212 142129 149698 174928 205946 229709 240656 268424 284258 299396 411892 436189 459418 536848 568516 598792 823784 872378 918836 973037 1137032 1197584 1338649 1647568 1744756 1837672 1946074 2274064 2677298 2986217 3489512 3675344 3892148 5354596 5972434 6661561 6979024 7784296 10709192 11944868 12649481 13323122 15568592 21418384 23889736 25298962 26646244 38820821 47779472 50597924 53292488 77641642 86600293 101195848 106584976 155283284 173200586 202391696 310566568 346401172 621133136 692802344 1125803809 1385604688 2251607618 4503215236 9006430472 18012860944