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6684209952 = 253722361781
BaseRepresentation
bin1100011100110100…
…01111001100100000
3122020211112001021120
412032122033030200
5102142124204302
63023133452240
7324432563400
oct61632171440
918224461246
106684209952
112920075962
121366641080
13826a6a024
14475a36800
15291c3b9bc
hex18e68f320

6684209952 has 144 divisors (see below), whose sum is σ = 21298479552. Its totient is φ = 1826711040.

The previous prime is 6684209947. The next prime is 6684209953. The reversal of 6684209952 is 2599024866.

It is a junction number, because it is equal to n+sod(n) for n = 6684209895 and 6684209904.

It is not an unprimeable number, because it can be changed into a prime (6684209953) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77302 + ... + 139082.

It is an arithmetic number, because the mean of its divisors is an integer number (147906108).

Almost surely, 26684209952 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 6684209952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10649239776).

6684209952 is an abundant number, since it is smaller than the sum of its proper divisors (14614269600).

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

6684209952 is a wasteful number, since it uses less digits than its factorization.

6684209952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61831 (or 61816 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 51.

The square root of 6684209952 is about 81757.0177538295. The cubic root of 6684209952 is about 1883.7214981332.

The spelling of 6684209952 in words is "six billion, six hundred eighty-four million, two hundred nine thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 32 42 46 48 49 56 69 84 92 96 98 112 138 147 161 168 184 196 224 276 294 322 336 368 392 483 552 588 644 672 736 784 966 1104 1127 1176 1288 1568 1932 2208 2254 2352 2576 3381 3864 4508 4704 5152 6762 7728 9016 13524 15456 18032 27048 36064 54096 61781 108192 123562 185343 247124 370686 432467 494248 741372 864934 988496 1297401 1420963 1482744 1729868 1976992 2594802 2841926 2965488 3027269 3459736 4262889 5189604 5683852 5930976 6054538 6919472 8525778 9081807 9946741 10379208 11367704 12109076 13838944 17051556 18163614 19893482 20758416 22735408 24218152 29840223 34103112 36327228 39786964 41516832 45470816 48436304 59680446 68206224 69627187 72654456 79573928 96872608 119360892 136412448 139254374 145308912 159147856 208881561 238721784 278508748 290617824 318295712 417763122 477443568 557017496 835526244 954887136 1114034992 1671052488 2228069984 3342104976 6684209952