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31333542542406 = 232132172014930071
BaseRepresentation
bin1110001111111011010001…
…01011000011110001000110
311002221110100110020220200200
413013331220223003301012
513101332043342324111
6150350233011551330
76412526252103456
oct707755053036106
9132843313226620
1031333542542406
119a905319a0875
123620797bbb546
131463981811c00
147a47a1653d66
153950cd83a256
hex1c7f68ac3c46

31333542542406 has 144 divisors (see below), whose sum is σ = 77844075472800. Its totient is φ = 9073214991360.

The previous prime is 31333542542383. The next prime is 31333542542429. The reversal of 31333542542406 is 60424524533313.

31333542542406 is a `hidden beast` number, since 3 + 1 + 3 + 3 + 354 + 2 + 54 + 240 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (31333542542383) and next prime (31333542542429).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1041970351 + ... + 1042000421.

It is an arithmetic number, because the mean of its divisors is an integer number (540583857450).

Almost surely, 231333542542406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31333542542406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38922037736400).

31333542542406 is an abundant number, since it is smaller than the sum of its proper divisors (46510532930394).

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

31333542542406 is a wasteful number, since it uses less digits than its factorization.

31333542542406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50271 (or 50255 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 45.

The spelling of 31333542542406 in words is "thirty-one trillion, three hundred thirty-three billion, five hundred forty-two million, five hundred forty-two thousand, four hundred six".

Divisors: 1 2 3 6 9 13 17 18 26 34 39 51 78 102 117 153 169 221 234 306 338 442 507 663 1014 1326 1521 1989 2873 3042 3978 5746 8619 17238 20149 25857 30071 40298 51714 60142 60447 90213 120894 180426 181341 261937 270639 342533 362682 390923 511207 523874 541278 685066 781846 785811 1022414 1027599 1172769 1533621 1571622 2055198 2345538 2357433 3067242 3082797 3405181 3518307 4452929 4600863 4714866 5081999 6165594 6645691 6810362 7036614 8905858 9201726 10163998 10215543 13291382 13358787 15245997 19937073 20431086 26717574 30491994 30646629 39874146 40076361 45737991 57888077 59811219 61293258 80152722 86393983 91475982 115776154 119622438 172787966 173664231 259181949 347328462 518363898 520992693 605900579 777545847 1041985386 1211801158 1555091694 1817701737 3635403474 5453105211 7876707527 10300309843 10906210422 15753415054 20600619686 23630122581 30900929529 47260245162 61801859058 70890367743 92702788587 102397197851 133904027959 141780735486 185405577174 204794395702 267808055918 307191593553 401712083877 614383187106 803424167754 921574780659 1205136251631 1740752363467 1843149561318 2410272503262 3481504726934 5222257090401 10444514180802 15666771271203 31333542542406