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18131084388617 = 176010117745701
BaseRepresentation
bin1000001111101011110001…
…10110000010100100001001
32101012022111110000112211212
410013311320312002210021
54334024430100413432
6102321145530302505
73550633113313664
oct407657066024411
971168443015755
1018131084388617
115860393508622
122049b13587a35
13a169a549a175
14469798cb06db
1521697001c2b2
hex107d78d82909

18131084388617 has 8 divisors (see below), whose sum is σ = 19197939268872. Its totient is φ = 17064265120000.

The previous prime is 18131084388611. The next prime is 18131084388643. The reversal of 18131084388617 is 71688348013181.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2119074135616 + 16012010253001 = 1455704^2 + 4001501^2 .

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 18131084388617 - 26 = 18131084388553 is a prime.

It is a super-3 number, since 3×181310843886173 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (18131084388611) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7851134 + ... + 9894567.

It is an arithmetic number, because the mean of its divisors is an integer number (2399742408609).

Almost surely, 218131084388617 is an apocalyptic number.

18131084388617 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

18131084388617 is a deficient number, since it is larger than the sum of its proper divisors (1066854880255).

18131084388617 is a wasteful number, since it uses less digits than its factorization.

18131084388617 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17805819.

The product of its (nonzero) digits is 6193152, while the sum is 59.

The spelling of 18131084388617 in words is "eighteen trillion, one hundred thirty-one billion, eighty-four million, three hundred eighty-eight thousand, six hundred seventeen".

Divisors: 1 17 60101 1021717 17745701 301676917 1066534375801 18131084388617