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17985008431 = 132415740507
BaseRepresentation
bin10000101111111111…
…010111001100101111
31201102101222002110101
4100233333113030233
5243313130232211
612132345051531
71204454022625
oct205777271457
951371862411
1017985008431
11769a083035
12359b186ba7
1319080b1a30
14c28847515
15703de65c1
hex42ffd732f

17985008431 has 8 divisors (see below), whose sum is σ = 19448841104. Its totient is φ = 16532657280.

The previous prime is 17985008389. The next prime is 17985008443. The reversal of 17985008431 is 13480058971.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 17985008431 - 225 = 17951453999 is a prime.

It is a super-5 number, since 5×179850084315 (a number of 52 digits) contains 55555 as substring. Note that it is a super-d number also for d = 4, 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (17985008231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2867121 + ... + 2873386.

It is an arithmetic number, because the mean of its divisors is an integer number (2431105138).

Almost surely, 217985008431 is an apocalyptic number.

17985008431 is a deficient number, since it is larger than the sum of its proper divisors (1463832673).

17985008431 is a wasteful number, since it uses less digits than its factorization.

17985008431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5740761.

The product of its (nonzero) digits is 241920, while the sum is 46.

The spelling of 17985008431 in words is "seventeen billion, nine hundred eighty-five million, eight thousand, four hundred thirty-one".

Divisors: 1 13 241 3133 5740507 74626591 1383462187 17985008431