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13204066560 = 283529118571
BaseRepresentation
bin11000100110000011…
…00001000100000000
31021002012210002011020
430103001201010000
5204020220112220
610022120545440
7645131466606
oct142301410400
937065702136
1013204066560
115666395703
122686022280
131325750c49
148d38c9876
15524311040
hex313061100

13204066560 has 144 divisors (see below), whose sum is σ = 43625010240. Its totient is φ = 3399639040.

The previous prime is 13204066541. The next prime is 13204066567. The reversal of 13204066560 is 6566040231.

It is not an unprimeable number, because it can be changed into a prime (13204066567) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52075 + ... + 170645.

It is an arithmetic number, because the mean of its divisors is an integer number (302951460).

Almost surely, 213204066560 is an apocalyptic number.

13204066560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13204066560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21812505120).

13204066560 is an abundant number, since it is smaller than the sum of its proper divisors (30420943680).

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

13204066560 is a wasteful number, since it uses less digits than its factorization.

13204066560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118624 (or 118610 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The spelling of 13204066560 in words is "thirteen billion, two hundred four million, sixty-six thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 32 40 48 58 60 64 80 87 96 116 120 128 145 160 174 192 232 240 256 290 320 348 384 435 464 480 580 640 696 768 870 928 960 1160 1280 1392 1740 1856 1920 2320 2784 3480 3712 3840 4640 5568 6960 7424 9280 11136 13920 18560 22272 27840 37120 55680 111360 118571 237142 355713 474284 592855 711426 948568 1185710 1422852 1778565 1897136 2371420 2845704 3438559 3557130 3794272 4742840 5691408 6877118 7114260 7588544 9485680 10315677 11382816 13754236 14228520 15177088 17192795 18971360 20631354 22765632 27508472 28457040 30354176 34385590 37942720 41262708 45531264 51578385 55016944 56914080 68771180 75885440 82525416 91062528 103156770 110033888 113828160 137542360 151770880 165050832 206313540 220067776 227656320 275084720 330101664 412627080 440135552 455312640 550169440 660203328 825254160 880271104 1100338880 1320406656 1650508320 2200677760 2640813312 3301016640 4401355520 6602033280 13204066560