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18444323456 = 271331357559
BaseRepresentation
bin10001001011010111…
…100000101010000000
31202121102020201012222
4101023113200222000
5300233221322311
612250113510212
71222032106526
oct211327405200
952542221188
1018444323456
117905381229
1236a8b72368
13197c2c0580
14c6d84c316
1572e3c4adb
hex44b5e0a80

18444323456 has 64 divisors (see below), whose sum is σ = 40847654400. Its totient is φ = 8238136320.

The previous prime is 18444323453. The next prime is 18444323467. The reversal of 18444323456 is 65432344481.

It is a tau number, because it is divible by the number of its divisors (64).

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (18444323453) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 127196 + ... + 230363.

It is an arithmetic number, because the mean of its divisors is an integer number (638244600).

Almost surely, 218444323456 is an apocalyptic number.

18444323456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

18444323456 is an abundant number, since it is smaller than the sum of its proper divisors (22403330944).

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

18444323456 is a wasteful number, since it uses less digits than its factorization.

18444323456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357617 (or 357605 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 44.

The spelling of 18444323456 in words is "eighteen billion, four hundred forty-four million, three hundred twenty-three thousand, four hundred fifty-six".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 64 104 124 128 208 248 403 416 496 806 832 992 1612 1664 1984 3224 3968 6448 12896 25792 51584 357559 715118 1430236 2860472 4648267 5720944 9296534 11084329 11441888 18593068 22168658 22883776 37186136 44337316 45767552 74372272 88674632 144096277 148744544 177349264 288192554 297489088 354698528 576385108 594978176 709397056 1152770216 1418794112 2305540432 4611080864 9222161728 18444323456