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6653361920 = 28541971307
BaseRepresentation
bin1100011001001001…
…00011111100000000
3122011200110210201212
412030210203330000
5102111230040140
63020112345252
7323606433422
oct61444437400
918150423655
106653361920
112904716317
121358245228
1382055905a
144718c6812
1528e196765
hex18c923f00

6653361920 has 144 divisors (see below), whose sum is σ = 16506510048. Its totient is φ = 2567700480.

The previous prime is 6653361919. The next prime is 6653361947. The reversal of 6653361920 is 291633566.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5089907 + ... + 5091213.

It is an arithmetic number, because the mean of its divisors is an integer number (114628542).

Almost surely, 26653361920 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 6653361920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8253255024).

6653361920 is an abundant number, since it is smaller than the sum of its proper divisors (9853148128).

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

6653361920 is a wasteful number, since it uses less digits than its factorization.

6653361920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1466 (or 1452 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 41.

The square root of 6653361920 is about 81568.1428009735. The cubic root of 6653361920 is about 1880.8191993470.

The spelling of 6653361920 in words is "six billion, six hundred fifty-three million, three hundred sixty-one thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 64 80 82 97 128 160 164 194 205 256 320 328 388 410 485 640 656 776 820 970 1280 1307 1312 1552 1640 1940 2614 2624 3104 3280 3880 3977 5228 5248 6208 6535 6560 7760 7954 10456 10496 12416 13070 13120 15520 15908 19885 20912 24832 26140 26240 31040 31816 39770 41824 52280 52480 53587 62080 63632 79540 83648 104560 107174 124160 126779 127264 159080 167296 209120 214348 253558 254528 267935 318160 334592 418240 428696 507116 509056 535870 633895 636320 836480 857392 1014232 1018112 1071740 1267790 1272640 1672960 1714784 2028464 2143480 2535580 2545280 3429568 4056928 4286960 5071160 5090560 5197939 6859136 8113856 8573920 10142320 10395878 13718272 16227712 17147840 20284640 20791756 25989695 32455424 34295680 40569280 41583512 51979390 68591360 81138560 83167024 103958780 162277120 166334048 207917560 332668096 415835120 665336192 831670240 1330672384 1663340480 3326680960 6653361920