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991885109742 = 2341723113138577
BaseRepresentation
bin11100110111100001111…
…01011010100111101110
310111211020011211021210000
432123300331122213232
5112222340042002432
62035355444125130
7131442560215602
oct16336075324756
93454204737700
10991885109742
1135272431681a
121402983967a6
13726c3cca527
14360167d3502
151ac0412457c
hexe6f0f5a9ee

991885109742 has 160 divisors (see below), whose sum is σ = 2477362231872. Its totient is φ = 295013892096.

The previous prime is 991885109717. The next prime is 991885109749. The reversal of 991885109742 is 247901588199.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 991885109742.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (991885109749) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7088358 + ... + 7226934.

Almost surely, 2991885109742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 991885109742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1238681115936).

991885109742 is an abundant number, since it is smaller than the sum of its proper divisors (1485477122130).

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

991885109742 is a wasteful number, since it uses less digits than its factorization.

991885109742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138744 (or 138735 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 63.

The spelling of 991885109742 in words is "nine hundred ninety-one billion, eight hundred eighty-five million, one hundred nine thousand, seven hundred forty-two".

Divisors: 1 2 3 6 9 17 18 23 27 34 46 51 54 69 81 102 113 138 153 162 207 226 306 339 391 414 459 621 678 782 918 1017 1173 1242 1377 1863 1921 2034 2346 2599 2754 3051 3519 3726 3842 5198 5763 6102 7038 7797 9153 10557 11526 15594 17289 18306 21114 23391 31671 34578 44183 46782 51867 63342 70173 88366 103734 132549 138577 140346 155601 210519 265098 277154 311202 397647 415731 421038 795294 831462 1192941 1247193 2355809 2385882 2494386 3187271 3578823 3741579 4711618 6374542 7067427 7157646 7483158 9561813 11224737 14134854 15659201 19123626 21202281 22449474 28685439 31318402 42404562 46977603 54183607 57370878 63606843 86056317 93955206 108367214 127213686 140932809 162550821 172112634 190820529 258168951 266206417 281865618 325101642 360161623 381641058 422798427 487652463 516337902 532412834 720323246 798619251 845596854 975304926 1080484869 1268395281 1462957389 1597238502 2160969738 2395857753 2536790562 2925914778 3241454607 4388872167 4791715506 6122747591 6482909214 7187573259 8777744334 9724363821 12245495182 14375146518 18368242773 19448727642 21562719777 29173091463 36736485546 43125439554 55104728319 58346182926 110209456638 165314184957 330628369914 495942554871 991885109742