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18342253512 = 233211214512
BaseRepresentation
bin10001000101010010…
…001001001111001000
31202100022012000120200
4101011102021033020
5300031104103022
612232030052200
71216352403522
oct210522111710
952308160520
1018342253512
1178627a6600
12367a94a060
13196410385b
14c6007ca12
15725461bac
hex4454893c8

18342253512 has 108 divisors (see below), whose sum is σ = 54641232555. Its totient is φ = 5554428000.

The previous prime is 18342253499. The next prime is 18342253561. The reversal of 18342253512 is 21535224381.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

18342253512 is a `hidden beast` number, since 1 + 83 + 4 + 225 + 351 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9171126756 + 9171126756 = 95766^2 + 95766^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=95766.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 12640387 + ... + 12641837.

Almost surely, 218342253512 is an apocalyptic number.

18342253512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18342253512

18342253512 is an abundant number, since it is smaller than the sum of its proper divisors (36298979043).

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

18342253512 is a wasteful number, since it uses less digits than its factorization.

18342253512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2936 (or 1467 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

Adding to 18342253512 its reverse (21535224381), we get a palindrome (39877477893).

The spelling of 18342253512 in words is "eighteen billion, three hundred forty-two million, two hundred fifty-three thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 121 132 198 242 264 363 396 484 726 792 968 1089 1451 1452 2178 2902 2904 4353 4356 5804 8706 8712 11608 13059 15961 17412 26118 31922 34824 47883 52236 63844 95766 104472 127688 143649 175571 191532 287298 351142 383064 526713 574596 702284 1053426 1149192 1404568 1580139 2105401 2106852 3160278 4210802 4213704 6316203 6320556 8421604 12632406 12641112 16843208 18948609 23159411 25264812 37897218 46318822 50529624 69478233 75794436 92637644 138956466 151588872 185275288 208434699 254753521 277912932 416869398 509507042 555825864 764260563 833738796 1019014084 1528521126 1667477592 2038028168 2292781689 3057042252 4585563378 6114084504 9171126756 18342253512