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13317388656 = 243111312715277
BaseRepresentation
bin11000110011100011…
…10011100101110000
31021101010000102211220
430121301303211300
5204233222414111
610041245505040
7651005635665
oct143161634560
937333012756
1013317388656
115714356230
1226b7b72180
13134307a440
14904987a6c
1552e247e06
hex319c73970

13317388656 has 160 divisors (see below), whose sum is σ = 40738725888. Its totient is φ = 3695569920.

The previous prime is 13317388621. The next prime is 13317388657. The reversal of 13317388656 is 65688371331.

13317388656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×133173886562 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13317388599 and 13317388608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13317388657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 864090 + ... + 879366.

Almost surely, 213317388656 is an apocalyptic number.

13317388656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13317388656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20369362944).

13317388656 is an abundant number, since it is smaller than the sum of its proper divisors (27421337232).

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

13317388656 is a wasteful number, since it uses less digits than its factorization.

13317388656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15439 (or 15433 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 51.

The spelling of 13317388656 in words is "thirteen billion, three hundred seventeen million, three hundred eighty-eight thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 33 39 44 48 52 66 78 88 104 127 132 143 156 176 208 254 264 286 312 381 429 508 528 572 624 762 858 1016 1144 1397 1524 1651 1716 2032 2288 2794 3048 3302 3432 4191 4953 5588 6096 6604 6864 8382 9906 11176 13208 15277 16764 18161 19812 22352 26416 30554 33528 36322 39624 45831 54483 61108 67056 72644 79248 91662 108966 122216 145288 168047 183324 198601 217932 244432 290576 336094 366648 397202 435864 504141 595803 672188 733296 794404 871728 1008282 1191606 1344376 1588808 1940179 2016564 2184611 2383212 2688752 3177616 3880358 4033128 4369222 4766424 5820537 6553833 7760716 8066256 8738444 9532848 11641074 13107666 15521432 17476888 21341969 23282148 25222327 26215332 31042864 34953776 42683938 46564296 50444654 52430664 64025907 75666981 85367876 93128592 100889308 104861328 128051814 151333962 170735752 201778616 256103628 277445597 302667924 341471504 403557232 512207256 554891194 605335848 832336791 1024414512 1109782388 1210671696 1664673582 2219564776 3329347164 4439129552 6658694328 13317388656