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13171715116 = 22719316113093
BaseRepresentation
bin11000100010001100…
…00110110000101100
31020222221220110022121
430101012012300230
5203433424340431
610015003322324
7644256505540
oct142106066054
936887813277
1013171715116
11564a0a957a
1226772203a4
13131bb34891
148cd4a7a20
15521570611
hex311186c2c

13171715116 has 96 divisors (see below), whose sum is σ = 29095915520. Its totient is φ = 5090169600.

The previous prime is 13171715113. The next prime is 13171715119. The reversal of 13171715116 is 61151717131.

It is an interprime number because it is at equal distance from previous prime (13171715113) and next prime (13171715119).

It is not an unprimeable number, because it can be changed into a prime (13171715113) 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 31 ways as a sum of consecutive naturals, for example, 999466 + ... + 1012558.

Almost surely, 213171715116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13171715116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14547957760).

13171715116 is an abundant number, since it is smaller than the sum of its proper divisors (15924200404).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13171715116 is a wasteful number, since it uses less digits than its factorization.

13171715116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13215 (or 13213 counting only the distinct ones).

The product of its digits is 4410, while the sum is 34.

The spelling of 13171715116 in words is "thirteen billion, one hundred seventy-one million, seven hundred fifteen thousand, one hundred sixteen".

Divisors: 1 2 4 7 14 19 28 31 38 61 62 76 122 124 133 217 244 266 427 434 532 589 854 868 1159 1178 1708 1891 2318 2356 3782 4123 4636 7564 8113 8246 13093 13237 16226 16492 26186 26474 32452 35929 52372 52948 71858 91651 143716 183302 248767 251503 366604 405883 497534 503006 798673 811766 995068 1006012 1597346 1623532 1741369 2841181 3194692 3482738 5590711 5682362 6965476 7711777 11181422 11364724 15174787 15423554 22362844 24758863 30349574 30847108 49517726 53982439 60699148 99035452 106223509 107964878 173312041 212447018 215929756 346624082 424894036 470418397 693248164 940836794 1881673588 3292928779 6585857558 13171715116