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13416352317 = 3283149120539
BaseRepresentation
bin11000111111010110…
…10100101000111101
31021122000020022110200
430133223110220331
5204434041233232
610055142554113
7653320053534
oct143753245075
937560208420
1013416352317
1157651aa085
122725138939
13135a71a314
14913b8931b
15537c9577c
hex31fad4a3d

13416352317 has 24 divisors (see below), whose sum is σ = 19744452000. Its totient is φ = 8777095008.

The previous prime is 13416352303. The next prime is 13416352337. The reversal of 13416352317 is 71325361431.

13416352317 is a `hidden beast` number, since 1 + 3 + 4 + 1 + 635 + 2 + 3 + 17 = 666.

It is not a de Polignac number, because 13416352317 - 27 = 13416352189 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13416352337) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51034 + ... + 171572.

It is an arithmetic number, because the mean of its divisors is an integer number (822685500).

Almost surely, 213416352317 is an apocalyptic number.

It is an amenable number.

13416352317 is a deficient number, since it is larger than the sum of its proper divisors (6328099683).

13416352317 is a wasteful number, since it uses less digits than its factorization.

13416352317 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120777 (or 120774 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The spelling of 13416352317 in words is "thirteen billion, four hundred sixteen million, three hundred fifty-two thousand, three hundred seventeen".

Divisors: 1 3 9 83 149 249 447 747 1341 12367 37101 111303 120539 361617 1084851 10004737 17960311 30014211 53880933 90042633 161642799 1490705813 4472117439 13416352317