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17980135563 = 3133114871907
BaseRepresentation
bin10000101111101100…
…110001100010001011
31201102001210112010210
4100233230301202023
5243310403314223
612132052412203
71204364426205
oct205754614213
951361715123
1017980135563
117697354a75
123599617063
131907096a90
14c27d39775
15703782893
hex42fb3188b

17980135563 has 16 divisors (see below), whose sum is σ = 26650459136. Its totient is φ = 10707772320.

The previous prime is 17980135553. The next prime is 17980135567. The reversal of 17980135563 is 36553108971.

It is not a de Polignac number, because 17980135563 - 218 = 17979873419 is a prime.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (17980135567) 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 15 ways as a sum of consecutive naturals, for example, 7434745 + ... + 7437162.

It is an arithmetic number, because the mean of its divisors is an integer number (1665653696).

Almost surely, 217980135563 is an apocalyptic number.

17980135563 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

17980135563 is a deficient number, since it is larger than the sum of its proper divisors (8670323573).

17980135563 is a wasteful number, since it uses less digits than its factorization.

17980135563 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14871954.

The product of its (nonzero) digits is 680400, while the sum is 48.

The spelling of 17980135563 in words is "seventeen billion, nine hundred eighty million, one hundred thirty-five thousand, five hundred sixty-three".

Divisors: 1 3 13 31 39 93 403 1209 14871907 44615721 193334791 461029117 580004373 1383087351 5993378521 17980135563