Search a number
-
+
13255317384 = 23317415314951
BaseRepresentation
bin11000101100001010…
…00001011110001000
31021012210012220001220
430112011001132020
5204121330124014
610031151242040
7646323224121
oct142605013610
937183186056
1013255317384
115692310161
12269b219320
13133325678a
148da62b048
15528a866a9
hex316141788

13255317384 has 128 divisors (see below), whose sum is σ = 36624026880. Its totient is φ = 3980288000.

The previous prime is 13255317379. The next prime is 13255317389. The reversal of 13255317384 is 48371355231.

It is an interprime number because it is at equal distance from previous prime (13255317379) and next prime (13255317389).

It is a super-3 number, since 3×132553173843 (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (13255317389) 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, 879109 + ... + 894059.

It is an arithmetic number, because the mean of its divisors is an integer number (286125210).

Almost surely, 213255317384 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 13255317384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18312013440).

13255317384 is an abundant number, since it is smaller than the sum of its proper divisors (23368709496).

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

13255317384 is a wasteful number, since it uses less digits than its factorization.

13255317384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15071 (or 15067 counting only the distinct ones).

The product of its digits is 302400, while the sum is 42.

The spelling of 13255317384 in words is "thirteen billion, two hundred fifty-five million, three hundred seventeen thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 17 24 34 41 51 53 68 82 102 106 123 136 159 164 204 212 246 318 328 408 424 492 636 697 901 984 1272 1394 1802 2091 2173 2703 2788 3604 4182 4346 5406 5576 6519 7208 8364 8692 10812 13038 14951 16728 17384 21624 26076 29902 36941 44853 52152 59804 73882 89706 110823 119608 147764 179412 221646 254167 295528 358824 443292 508334 612991 762501 792403 886584 1016668 1225982 1525002 1584806 1838973 2033336 2377209 2451964 3050004 3169612 3677946 4754418 4903928 6100008 6339224 7355892 9508836 10420847 13470851 14711784 19017672 20841694 26941702 31262541 32488523 40412553 41683388 53883404 62525082 64977046 80825106 83366776 97465569 107766808 125050164 129954092 161650212 194931138 250100328 259908184 323300424 389862276 552304891 779724552 1104609782 1656914673 2209219564 3313829346 4418439128 6627658692 13255317384