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6668197340 = 22572311032131
BaseRepresentation
bin1100011010111010…
…01001110111011100
3122012201101112002212
412031131021313130
5102124024303330
63021402335552
7324146512400
oct61535116734
918181345085
106668197340
1129120293a2
1213611ba5b8
138236517cc
14473869100
15290627295
hex18d749ddc

6668197340 has 144 divisors (see below), whose sum is σ = 16986138624. Its totient is φ = 2189980800.

The previous prime is 6668197253. The next prime is 6668197343. The reversal of 6668197340 is 437918666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6668197343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3128075 + ... + 3130205.

It is an arithmetic number, because the mean of its divisors is an integer number (117959296).

Almost surely, 26668197340 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 6668197340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8493069312).

6668197340 is an abundant number, since it is smaller than the sum of its proper divisors (10317941284).

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

6668197340 is a wasteful number, since it uses less digits than its factorization.

6668197340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2288 (or 2279 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 50.

The square root of 6668197340 is about 81659.0309763715. The cubic root of 6668197340 is about 1882.2160886149.

The spelling of 6668197340 in words is "six billion, six hundred sixty-eight million, one hundred ninety-seven thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 49 62 70 98 103 124 140 155 196 206 217 245 310 412 434 490 515 620 721 868 980 1030 1085 1442 1519 2060 2131 2170 2884 3038 3193 3605 4262 4340 5047 6076 6386 7210 7595 8524 10094 10655 12772 14420 14917 15190 15965 20188 21310 22351 25235 29834 30380 31930 42620 44702 50470 59668 63860 66061 74585 89404 100940 104419 111755 132122 149170 156457 208838 219493 223510 264244 298340 312914 330305 417676 438986 447020 462427 522095 625828 660610 782285 877972 924854 1044190 1097465 1321220 1536451 1564570 1849708 2088380 2194930 2312135 3072902 3129140 3236989 4389860 4624270 6145804 6473978 6804283 7682255 9248540 10755157 12947956 13608566 15364510 16184945 21510314 27217132 30729020 32369890 34021415 43020628 47629981 53775785 64739780 68042830 95259962 107551570 136085660 190519924 215103140 238149905 333409867 476299810 666819734 952599620 1333639468 1667049335 3334098670 6668197340