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13871628516 = 223174310714779
BaseRepresentation
bin11001110101101000…
…00100000011100100
31022210201220202000010
430322310010003210
5211402114103031
610212245050220
71000515616434
oct147264040344
938721822003
1013871628516
1159791998a9
1228316b6970
131400b43715
1495841c2c4
15562c27246
hex33ad040e4

13871628516 has 96 divisors (see below), whose sum is σ = 35398218240. Its totient is φ = 4210665984.

The previous prime is 13871628481. The next prime is 13871628517. The reversal of 13871628516 is 61582617831.

It is not an unprimeable number, because it can be changed into a prime (13871628517) 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, 931215 + ... + 945993.

It is an arithmetic number, because the mean of its divisors is an integer number (368731440).

Almost surely, 213871628516 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 13871628516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17699109120).

13871628516 is an abundant number, since it is smaller than the sum of its proper divisors (21526589724).

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

13871628516 is a wasteful number, since it uses less digits than its factorization.

13871628516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14953 (or 14951 counting only the distinct ones).

The product of its digits is 483840, while the sum is 48.

The spelling of 13871628516 in words is "thirteen billion, eight hundred seventy-one million, six hundred twenty-eight thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 12 17 34 43 51 68 86 102 107 129 172 204 214 258 321 428 516 642 731 1284 1462 1819 2193 2924 3638 4386 4601 5457 7276 8772 9202 10914 13803 14779 18404 21828 27606 29558 44337 55212 59116 78217 88674 156434 177348 234651 251243 312868 469302 502486 635497 753729 938604 1004972 1270994 1507458 1581353 1906491 2541988 3014916 3162706 3812982 4744059 6325412 7625964 9488118 10803449 18976236 21606898 26883001 32410347 43213796 53766002 64820694 67998179 80649003 107532004 129641388 135996358 161298006 203994537 271992716 322596012 407989074 815978148 1155969043 2311938086 3467907129 4623876172 6935814258 13871628516