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17312678136 = 23321390720393
BaseRepresentation
bin10000000111111010…
…101000000011111000
31122200112212011200100
4100013322220003320
5240424021200021
611541530435400
71152011223165
oct200772500370
948615764610
1017312678136
117384612366
123431b92b60
13182ba0ca60
14ba343306c
156b4d8c626
hex407ea80f8

17312678136 has 96 divisors (see below), whose sum is σ = 50553462960. Its totient is φ = 5320843776.

The previous prime is 17312678113. The next prime is 17312678137. The reversal of 17312678136 is 63187621371.

It is a junction number, because it is equal to n+sod(n) for n = 17312678091 and 17312678100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (17312678137) 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, 838756 + ... + 859148.

Almost surely, 217312678136 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 17312678136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25276731480).

17312678136 is an abundant number, since it is smaller than the sum of its proper divisors (33240784824).

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

17312678136 is a wasteful number, since it uses less digits than its factorization.

17312678136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21325 (or 21318 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The spelling of 17312678136 in words is "seventeen billion, three hundred twelve million, six hundred seventy-eight thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 907 936 1814 2721 3628 5442 7256 8163 10884 11791 16326 20393 21768 23582 32652 35373 40786 47164 61179 65304 70746 81572 94328 106119 122358 141492 163144 183537 212238 244716 265109 282984 367074 424476 489432 530218 734148 795327 848952 1060436 1468296 1590654 2120872 2385981 3181308 4771962 6362616 9543924 18496451 19087848 36992902 55489353 73985804 110978706 147971608 166468059 221957412 240453863 332936118 443914824 480907726 665872236 721361589 961815452 1331744472 1442723178 1923630904 2164084767 2885446356 4328169534 5770892712 8656339068 17312678136