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6684217290 = 2325194195339
BaseRepresentation
bin1100011100110100…
…10000111111001010
3122020211112102100100
412032122100333022
5102142124423130
63023133550230
7324432623652
oct61632207712
918224472310
106684217290
112920080423
121366645376
13826a7047a
14475a39362
15291c3dc60
hex18e690fca

6684217290 has 96 divisors (see below), whose sum is σ = 18740030400. Its totient is φ = 1647440640.

The previous prime is 6684217247. The next prime is 6684217291. The reversal of 6684217290 is 927124866.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (6684217291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22441 + ... + 117779.

It is an arithmetic number, because the mean of its divisors is an integer number (195208650).

Almost surely, 26684217290 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6684217290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9370015200).

6684217290 is an abundant number, since it is smaller than the sum of its proper divisors (12055813110).

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

6684217290 is a wasteful number, since it uses less digits than its factorization.

6684217290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95412 (or 95409 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 6684217290 is about 81757.0626306988. The cubic root of 6684217290 is about 1883.7221874564.

The spelling of 6684217290 in words is "six billion, six hundred eighty-four million, two hundred seventeen thousand, two hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 41 45 57 82 90 95 114 123 171 190 205 246 285 342 369 410 570 615 738 779 855 1230 1558 1710 1845 2337 3690 3895 4674 7011 7790 11685 14022 23370 35055 70110 95339 190678 286017 476695 572034 858051 953390 1430085 1716102 1811441 2860170 3622882 3908899 4290255 5434323 7817798 8580510 9057205 10868646 11726697 16302969 18114410 19544495 23453394 27171615 32605938 35180091 39088990 54343230 58633485 70360182 74269081 81514845 117266970 148538162 163029690 175900455 222807243 351800910 371345405 445614486 668421729 742690810 1114036215 1336843458 2228072430 3342108645 6684217290