Search a number
-
+
17142802096 = 2472312233163
BaseRepresentation
bin11111111011100101…
…00110011010110000
31122020201012120120011
433331302212122300
5240102024131341
611513021424304
71144546261600
oct177562463260
948221176504
1017142802096
1172a7734a42
1233a510b094
131802771ca4
14b88a52c00
156a4ed3b81
hex3fdca66b0

17142802096 has 120 divisors (see below), whose sum is σ = 40074768384. Its totient is φ = 7075797120.

The previous prime is 17142802073. The next prime is 17142802099. The reversal of 17142802096 is 69020824171.

It is not an unprimeable number, because it can be changed into a prime (17142802099) 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, 5418211 + ... + 5421373.

Almost surely, 217142802096 is an apocalyptic number.

17142802096 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 17142802096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20037384192).

17142802096 is an abundant number, since it is smaller than the sum of its proper divisors (22931966288).

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

17142802096 is a wasteful number, since it uses less digits than its factorization.

17142802096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3439 (or 3426 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 40.

The spelling of 17142802096 in words is "seventeen billion, one hundred forty-two million, eight hundred two thousand, ninety-six".

Divisors: 1 2 4 7 8 14 16 28 31 49 56 62 98 112 124 196 217 223 248 392 434 446 496 784 868 892 1519 1561 1736 1784 3038 3122 3163 3472 3568 6076 6244 6326 6913 10927 12152 12488 12652 13826 21854 22141 24304 24976 25304 27652 43708 44282 48391 50608 55304 87416 88564 96782 98053 110608 154987 174832 177128 193564 196106 309974 338737 354256 387128 392212 619948 677474 686371 705349 774256 784424 1239896 1354948 1372742 1410698 1568848 2479792 2709896 2745484 2821396 4804597 4937443 5419792 5490968 5642792 9609194 9874886 10981936 11285584 19218388 19749772 21865819 34562101 38436776 39499544 43731638 69124202 76873552 78999088 87463276 138248404 153060733 174926552 276496808 306121466 349853104 552993616 612242932 1071425131 1224485864 2142850262 2448971728 4285700524 8571401048 17142802096