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12315195116 = 2271947539293
BaseRepresentation
bin10110111100000101…
…01111011011101100
31011210021012201202122
423132002233123230
5200210142220431
65354005212112
7614116300640
oct133602573354
934707181678
1012315195116
11524a674404
122478401038
131213552a03
1484b828c20
154c1281a7b
hex2de0af6ec

12315195116 has 96 divisors (see below), whose sum is σ = 26980853760. Its totient is φ = 4800916224.

The previous prime is 12315195089. The next prime is 12315195121. The reversal of 12315195116 is 61159151321.

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, 1320566 + ... + 1329858.

It is an arithmetic number, because the mean of its divisors is an integer number (281050560).

Almost surely, 212315195116 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 12315195116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13490426880).

12315195116 is an abundant number, since it is smaller than the sum of its proper divisors (14665658644).

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

12315195116 is a wasteful number, since it uses less digits than its factorization.

12315195116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9423 (or 9421 counting only the distinct ones).

The product of its digits is 8100, while the sum is 35.

The spelling of 12315195116 in words is "twelve billion, three hundred fifteen million, one hundred ninety-five thousand, one hundred sixteen".

Divisors: 1 2 4 7 14 19 28 38 47 53 76 94 106 133 188 212 266 329 371 532 658 742 893 1007 1316 1484 1786 2014 2491 3572 4028 4982 6251 7049 9293 9964 12502 14098 17437 18586 25004 28196 34874 37172 47329 65051 69748 94658 130102 176567 189316 260204 331303 353134 436771 492529 662606 706268 873542 985058 1235969 1325212 1747084 1970116 2471938 3057397 3447703 4943876 6114794 6895406 8298649 9358051 12229588 13790812 16597298 18716102 23148863 33194596 37432204 46297726 58090543 65506357 92595452 116181086 131012714 162042041 232362172 262025428 324084082 439828397 648168164 879656794 1759313588 3078798779 6157597558 12315195116