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115067201304 = 2331114911292591
BaseRepresentation
bin110101100101010001…
…0100010011100011000
3102000000020020110210110
41223022202202130120
53341124200420204
6124510001244320
711212321034046
oct1531242423430
9360006213713
10115067201304
1144888487490
121a3739336a0
13ab0a257483
1457d8179396
152ed6dc5889
hex1aca8a2718

115067201304 has 128 divisors (see below), whose sum is σ = 316327680000. Its totient is φ = 34590796800.

The previous prime is 115067201303. The next prime is 115067201339. The reversal of 115067201304 is 403102760511.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115067201303) 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, 44409049 + ... + 44411639.

It is an arithmetic number, because the mean of its divisors is an integer number (2471310000).

Almost surely, 2115067201304 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 115067201304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158163840000).

115067201304 is an abundant number, since it is smaller than the sum of its proper divisors (201260478696).

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

115067201304 is a wasteful number, since it uses less digits than its factorization.

115067201304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3889 (or 3885 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

Adding to 115067201304 its reverse (403102760511), we get a palindrome (518169961815).

The spelling of 115067201304 in words is "one hundred fifteen billion, sixty-seven million, two hundred one thousand, three hundred four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 149 264 298 447 596 894 1129 1192 1639 1788 2258 2591 3278 3387 3576 4516 4917 5182 6556 6774 7773 9032 9834 10364 12419 13112 13548 15546 19668 20728 24838 27096 28501 31092 37257 39336 49676 57002 62184 74514 85503 99352 114004 149028 168221 171006 228008 298056 336442 342012 386059 504663 672884 684024 772118 1009326 1158177 1345768 1544236 1850431 2018652 2316354 2925239 3088472 3700862 4037304 4246649 4632708 5551293 5850478 7401724 8493298 8775717 9265416 11102586 11700956 12739947 14803448 16986596 17551434 22205172 23401912 25479894 32177629 33973192 35102868 44410344 50959788 64355258 70205736 96532887 101919576 128710516 193065774 257421032 386131548 435860611 772263096 871721222 1307581833 1743442444 2615163666 3486884888 4794466721 5230327332 9588933442 10460654664 14383400163 19177866884 28766800326 38355733768 57533600652 115067201304