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18082606976 = 27759342059
BaseRepresentation
bin10000110101110011…
…101010111110000000
31201200012121121111022
4100311303222332000
5244013121410401
612150153005012
71210050423530
oct206563527600
951605547438
1018082606976
11773a184295
1236079b3768
131922394455
14c377b14c0
1570c77471b
hex435ceaf80

18082606976 has 64 divisors (see below), whose sum is σ = 41868144000. Its totient is φ = 7618315776.

The previous prime is 18082606967. The next prime is 18082606981. The reversal of 18082606976 is 67960628081.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 118166 + ... + 223893.

It is an arithmetic number, because the mean of its divisors is an integer number (654189750).

Almost surely, 218082606976 is an apocalyptic number.

18082606976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

18082606976 is an abundant number, since it is smaller than the sum of its proper divisors (23785537024).

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

18082606976 is an equidigital number, since it uses as much as digits as its factorization.

18082606976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342139 (or 342127 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 53.

The spelling of 18082606976 in words is "eighteen billion, eighty-two million, six hundred six thousand, nine hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 59 64 112 118 128 224 236 413 448 472 826 896 944 1652 1888 3304 3776 6608 7552 13216 26432 52864 342059 684118 1368236 2394413 2736472 4788826 5472944 9577652 10945888 19155304 20181481 21891776 38310608 40362962 43783552 76621216 80725924 141270367 153242432 161451848 282540734 306484864 322903696 565081468 645807392 1130162936 1291614784 2260325872 2583229568 4520651744 9041303488 18082606976