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18744349344 = 253727893377
BaseRepresentation
bin10001011101010000…
…000001001010100000
31210101022210121100220
4101131100001022200
5301342023134334
612335552243040
71232334224550
oct213520011240
953338717326
1018744349344
117a49773106
123771540480
1319c94ca096
14c9b62b160
1574a8db449
hex45d4012a0

18744349344 has 48 divisors (see below), whose sum is σ = 56233050048. Its totient is φ = 5355528192.

The previous prime is 18744349313. The next prime is 18744349381. The reversal of 18744349344 is 44394344781.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13946017 + ... + 13947360.

It is an arithmetic number, because the mean of its divisors is an integer number (1171521876).

Almost surely, 218744349344 is an apocalyptic number.

18744349344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

18744349344 is an abundant number, since it is smaller than the sum of its proper divisors (37488700704).

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

18744349344 is a wasteful number, since it uses less digits than its factorization.

18744349344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27893397 (or 27893389 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 51.

The spelling of 18744349344 in words is "eighteen billion, seven hundred forty-four million, three hundred forty-nine thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 27893377 55786754 83680131 111573508 167360262 195253639 223147016 334720524 390507278 446294032 585760917 669441048 781014556 892588064 1171521834 1338882096 1562029112 2343043668 2677764192 3124058224 4686087336 6248116448 9372174672 18744349344