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17996490801 = 329724612
BaseRepresentation
bin10000110000101011…
…001010100000110001
31201110012120110022100
4100300223022200301
5243324100201201
612133435131013
71204653435132
oct206053124061
951405513270
1017996490801
1176a56059a3
1235a2ba3a69
13190a5a2233
14c2a195c89
15704e13886
hex430aca831

17996490801 has 27 divisors (see below), whose sum is σ = 26322781953. Its totient is φ = 11848216320.

The previous prime is 17996490793. The next prime is 17996490803. The reversal of 17996490801 is 10809469971.

The square root of 17996490801 is 134151.

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

17996490801 is a `hidden beast` number, since 1 + 79 + 9 + 6 + 490 + 80 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 972504225 + 17023986576 = 31185^2 + 130476^2 .

It is not a de Polignac number, because 17996490801 - 23 = 17996490793 is a prime.

It is not an unprimeable number, because it can be changed into a prime (17996490803) 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 26 ways as a sum of consecutive naturals, for example, 39037711 + ... + 39038171.

Almost surely, 217996490801 is an apocalyptic number.

17996490801 is the 134151-st square number.

17996490801 is the 67076-th centered octagonal number.

It is an amenable number.

17996490801 is a deficient number, since it is larger than the sum of its proper divisors (8326291152).

17996490801 is an frugal number, since it uses more digits than its factorization.

17996490801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1122 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 54.

The spelling of 17996490801 in words is "seventeen billion, nine hundred ninety-six million, four hundred ninety thousand, eight hundred one".

Divisors: 1 3 9 97 291 461 873 1383 4149 9409 28227 44717 84681 134151 212521 402453 637563 1912689 4337549 13012647 20614537 39037941 61843611 185530833 1999610089 5998830267 17996490801