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16121171196 = 223213172817211
BaseRepresentation
bin11110000001110010…
…11000110011111100
31112121111211100102200
433000321120303330
5231004004434241
611223404351500
71110332460054
oct170071306374
945544740380
1016121171196
116922a87589
12315ab45590
13169bc00270
14acd0b4564
1564547d4b6
hex3c0e58cfc

16121171196 has 144 divisors (see below), whose sum is σ = 46638734688. Its totient is φ = 4651315200.

The previous prime is 16121171191. The next prime is 16121171203. The reversal of 16121171196 is 69117112161.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 16121171196.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16121171191) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2232031 + ... + 2239241.

It is an arithmetic number, because the mean of its divisors is an integer number (323880102).

Almost surely, 216121171196 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 16121171196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23319367344).

16121171196 is an abundant number, since it is smaller than the sum of its proper divisors (30517563492).

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

16121171196 is a wasteful number, since it uses less digits than its factorization.

16121171196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7532 (or 7527 counting only the distinct ones).

The product of its digits is 4536, while the sum is 36.

The spelling of 16121171196 in words is "sixteen billion, one hundred twenty-one million, one hundred seventy-one thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 13 17 18 26 34 36 39 51 52 68 78 102 117 153 156 204 221 234 281 306 442 468 562 612 663 843 884 1124 1326 1686 1989 2529 2652 3372 3653 3978 4777 5058 7211 7306 7956 9554 10116 10959 14331 14422 14612 19108 21633 21918 28662 28844 32877 42993 43266 43836 57324 62101 64899 65754 85986 86532 93743 122587 124202 129798 131508 171972 186303 187486 245174 248404 259596 281229 367761 372606 374972 490348 558909 562458 735522 745212 843687 1103283 1117818 1124916 1471044 1593631 1687374 2026291 2206566 2235636 3187262 3374748 4052582 4413132 4780893 6078873 6374524 8105164 9561786 12157746 14342679 18236619 19123572 24315492 26341783 28685358 34446947 36473238 52683566 57370716 68893894 72946476 79025349 103340841 105367132 137787788 158050698 206681682 237076047 310022523 316101396 413363364 447810311 474152094 620045046 895620622 948304188 1240090092 1343430933 1791241244 2686861866 4030292799 5373723732 8060585598 16121171196