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199121615160 = 233513413113221
BaseRepresentation
bin1011100101110010010…
…0101011100100111000
3201000222010110010000120
42321130210223210320
511230300113141120
6231250351133240
720246263542156
oct2713444534470
9630863403016
10199121615160
11774a0a62716
1232711514220
1315a14353130
1498cd5903d6
1552a62b7140
hex2e5c92b938

199121615160 has 128 divisors (see below), whose sum is σ = 659006832960. Its totient is φ = 47819059200.

The previous prime is 199121615159. The next prime is 199121615177. The reversal of 199121615160 is 61516121991.

199121615160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1492651 + ... + 1620570.

Almost surely, 2199121615160 is an apocalyptic number.

199121615160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

199121615160 is an abundant number, since it is smaller than the sum of its proper divisors (459885217800).

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

199121615160 is a wasteful number, since it uses less digits than its factorization.

199121615160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3113289 (or 3113285 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 42.

The spelling of 199121615160 in words is "one hundred ninety-nine billion, one hundred twenty-one million, six hundred fifteen thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 41 52 60 65 78 82 104 120 123 130 156 164 195 205 246 260 312 328 390 410 492 520 533 615 780 820 984 1066 1230 1560 1599 1640 2132 2460 2665 3198 4264 4920 5330 6396 7995 10660 12792 15990 21320 31980 63960 3113221 6226442 9339663 12452884 15566105 18679326 24905768 31132210 37358652 40471873 46698315 62264420 74717304 80943746 93396630 121415619 124528840 127642061 161887492 186793260 202359365 242831238 255284122 323774984 373586520 382926183 404718730 485662476 510568244 607078095 638210305 765852366 809437460 971324952 1021136488 1214156190 1276420610 1531704732 1618874920 1659346793 1914630915 2428312380 2552841220 3063409464 3318693586 3829261830 4856624760 4978040379 5105682440 6637387172 7658523660 8296733965 9956080758 13274774344 15317047320 16593467930 19912161516 24890201895 33186935860 39824323032 49780403790 66373871720 99560807580 199121615160