Search a number
-
+
13287487368 = 2331760753653
BaseRepresentation
bin11000101111111111…
…01111011110001000
31021022000202021222210
430113333233132020
5204203044043433
610034300545120
7650163531141
oct142777573610
937260667883
1013287487368
1156a9492a21
1226a9b521a0
131339b0b37c
14900a02ac8
1552b7dd463
hex317fef788

13287487368 has 64 divisors (see below), whose sum is σ = 35231362560. Its totient is φ = 4161678336.

The previous prime is 13287487361. The next prime is 13287487373. The reversal of 13287487368 is 86378478231.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (13287487361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 220830 + ... + 274482.

It is an arithmetic number, because the mean of its divisors is an integer number (550490040).

Almost surely, 213287487368 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 13287487368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17615681280).

13287487368 is an abundant number, since it is smaller than the sum of its proper divisors (21943875192).

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

13287487368 is a wasteful number, since it uses less digits than its factorization.

13287487368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54286 (or 54282 counting only the distinct ones).

The product of its digits is 10838016, while the sum is 57.

The spelling of 13287487368 in words is "thirteen billion, two hundred eighty-seven million, four hundred eighty-seven thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 408 607 1214 1821 2428 3642 4856 7284 10319 14568 20638 30957 41276 53653 61914 82552 107306 123828 160959 214612 247656 321918 429224 643836 912101 1287672 1824202 2736303 3648404 5472606 7296808 10945212 21890424 32567371 65134742 97702113 130269484 195404226 260538968 390808452 553645307 781616904 1107290614 1660935921 2214581228 3321871842 4429162456 6643743684 13287487368