Search a number
-
+
13316535460 = 2253161794457
BaseRepresentation
bin11000110011011101…
…00011010010100100
31021101001102002111001
430121232203102210
5204233013113320
610041215323044
7650665453354
oct143156432244
937331362431
1013316535460
115713923208
1226b7820484
131342b3bca7
14904804b64
1552e12a20a
hex319ba34a4

13316535460 has 96 divisors (see below), whose sum is σ = 29718097920. Its totient is φ = 5004979200.

The previous prime is 13316535457. The next prime is 13316535461. The reversal of 13316535460 is 6453561331.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (13316535461) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2985552 + ... + 2990008.

It is an arithmetic number, because the mean of its divisors is an integer number (309563520).

Almost surely, 213316535460 is an apocalyptic number.

13316535460 is a gapful number since it is divisible by the number (10) 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 13316535460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14859048960).

13316535460 is an abundant number, since it is smaller than the sum of its proper divisors (16401562460).

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

13316535460 is a wasteful number, since it uses less digits than its factorization.

13316535460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4637 (or 4635 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 37.

The spelling of 13316535460 in words is "thirteen billion, three hundred sixteen million, five hundred thirty-five thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 31 61 62 79 122 124 155 158 244 305 310 316 395 610 620 790 1220 1580 1891 2449 3782 4457 4819 4898 7564 8914 9455 9638 9796 12245 17828 18910 19276 22285 24095 24490 37820 44570 48190 48980 89140 96380 138167 149389 271877 276334 298778 352103 543754 552668 597556 690835 704206 746945 1087508 1359385 1381670 1408412 1493890 1760515 2718770 2763340 2987780 3521030 5437540 7042060 8428187 10915193 16856374 21478283 21830386 33712748 42140935 42956566 43660772 54575965 84281870 85913132 107391415 109151930 168563740 214782830 218303860 429565660 665826773 1331653546 2663307092 3329133865 6658267730 13316535460