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13162270080 = 273520633323
BaseRepresentation
bin11000100001000100…
…00100110110000000
31020222022010121011110
430100202010312000
5203424020120310
610014025043320
7644113310151
oct142042046600
936868117143
1013162270080
115644838363
122674026540
131319ba87bb
148cc129928
15520806d20
hex310884d80

13162270080 has 128 divisors (see below), whose sum is σ = 41987704320. Its totient is φ = 3507181568.

The previous prime is 13162270063. The next prime is 13162270081. The reversal of 13162270080 is 8007226131.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13162270081) 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, 3959299 + ... + 3962621.

It is an arithmetic number, because the mean of its divisors is an integer number (328028940).

Almost surely, 213162270080 is an apocalyptic number.

13162270080 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 13162270080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20993852160).

13162270080 is an abundant number, since it is smaller than the sum of its proper divisors (28825434240).

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

13162270080 is a wasteful number, since it uses less digits than its factorization.

13162270080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5408 (or 5396 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The spelling of 13162270080 in words is "thirteen billion, one hundred sixty-two million, two hundred seventy thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 2063 3323 4126 6189 6646 8252 9969 10315 12378 13292 16504 16615 19938 20630 24756 26584 30945 33008 33230 39876 41260 49512 49845 53168 61890 66016 66460 79752 82520 99024 99690 106336 123780 132032 132920 159504 165040 198048 199380 212672 247560 264064 265840 319008 330080 396096 398760 425344 495120 531680 638016 660160 792192 797520 990240 1063360 1276032 1320320 1595040 1980480 2126720 3190080 3960960 6380160 6855349 13710698 20566047 27421396 34276745 41132094 54842792 68553490 82264188 102830235 109685584 137106980 164528376 205660470 219371168 274213960 329056752 411320940 438742336 548427920 658113504 822641880 877484672 1096855840 1316227008 1645283760 2193711680 2632454016 3290567520 4387423360 6581135040 13162270080