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18158640516 = 22323726072
BaseRepresentation
bin10000111010010101…
…101101110110000100
31201212111200111220100
4100322111231312010
5244142102444031
612201510404100
71211662616622
oct207225556604
951774614810
1018158640516
117779096425
123629360630
131935066303
14c43924512
15714292de6
hex43a56dd84

18158640516 has 81 divisors (see below), whose sum is σ = 47252951109. Its totient is φ = 5879586528.

The previous prime is 18158640503. The next prime is 18158640517. The reversal of 18158640516 is 61504685181.

The square root of 18158640516 is 134754.

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

18158640516 is a `hidden beast` number, since 1 + 8 + 15 + 86 + 40 + 516 = 666.

It can be written as a sum of positive squares in only one way, i.e., 16248600900 + 1910039616 = 127470^2 + 43704^2 .

It is not an unprimeable number, because it can be changed into a prime (18158640517) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 29915085 + ... + 29915691.

Almost surely, 218158640516 is an apocalyptic number.

18158640516 is the 134754-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18158640516

18158640516 is an abundant number, since it is smaller than the sum of its proper divisors (29094310593).

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

18158640516 is an equidigital number, since it uses as much as digits as its factorization.

18158640516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1298 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The spelling of 18158640516 in words is "eighteen billion, one hundred fifty-eight million, six hundred forty thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 607 666 1214 1332 1369 1821 2428 2738 3642 4107 5463 5476 7284 8214 10926 12321 16428 21852 22459 24642 44918 49284 67377 89836 134754 202131 269508 368449 404262 736898 808524 830983 1105347 1473796 1661966 2210694 2492949 3316041 3323932 4421388 4985898 6632082 7478847 9971796 13264164 13632613 14957694 27265226 29915388 40897839 54530452 81795678 122693517 163591356 245387034 490774068 504406681 1008813362 1513220043 2017626724 3026440086 4539660129 6052880172 9079320258 18158640516