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27230510364 = 223192910937783
BaseRepresentation
bin11001010111000100…
…001001110100011100
32121021202000020210220
4121113010021310130
5421232002312424
620302020201340
71652540343021
oct312704116434
977252006726
1027230510364
1110603a05522
12533b539250
13274c68b235
1414646c7548
15a95919579
hex657109d1c

27230510364 has 96 divisors (see below), whose sum is σ = 69824832000. Its totient is φ = 8226199296.

The previous prime is 27230510327. The next prime is 27230510371. The reversal of 27230510364 is 46301503272.

It is a super-2 number, since 2×272305103642 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 701817 + ... + 739599.

It is an arithmetic number, because the mean of its divisors is an integer number (727342000).

Almost surely, 227230510364 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 27230510364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34912416000).

27230510364 is an abundant number, since it is smaller than the sum of its proper divisors (42594321636).

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

27230510364 is a wasteful number, since it uses less digits than its factorization.

27230510364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37947 (or 37945 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The spelling of 27230510364 in words is "twenty-seven billion, two hundred thirty million, five hundred ten thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 12 19 29 38 57 58 76 87 109 114 116 174 218 228 327 348 436 551 654 1102 1308 1653 2071 2204 3161 3306 4142 6213 6322 6612 8284 9483 12426 12644 18966 24852 37783 37932 60059 75566 113349 120118 151132 180177 226698 240236 360354 453396 717877 720708 1095707 1435754 2153631 2191414 2871508 3287121 4118347 4307262 4382828 6574242 8236694 8614524 12355041 13148484 16473388 20818433 24710082 41636866 49420164 62455299 78248593 83273732 119432063 124910598 156497186 234745779 238864126 249821196 312994372 358296189 469491558 477728252 716592378 938983116 1433184756 2269209197 4538418394 6807627591 9076836788 13615255182 27230510364