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13666656240 = 2432547403861
BaseRepresentation
bin11001011101001100…
…01001111111110000
31022021110020001220100
430232212021333300
5210442130444430
610140043512400
7662446442556
oct145646117760
938243201810
1013666656240
115883520126
122794b28700
13139a538153
14939103bd6
1554ec39960
hex32e989ff0

13666656240 has 120 divisors (see below), whose sum is σ = 46873839168. Its totient is φ = 3566891520.

The previous prime is 13666656191. The next prime is 13666656253. The reversal of 13666656240 is 4265666631.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 168091 + ... + 235770.

Almost surely, 213666656240 is an apocalyptic number.

13666656240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13666656240 is an abundant number, since it is smaller than the sum of its proper divisors (33207182928).

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

13666656240 is a wasteful number, since it uses less digits than its factorization.

13666656240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403927 (or 403918 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 13666656240 in words is "thirteen billion, six hundred sixty-six million, six hundred fifty-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 47 48 60 72 80 90 94 120 141 144 180 188 235 240 282 360 376 423 470 564 705 720 752 846 940 1128 1410 1692 1880 2115 2256 2820 3384 3760 4230 5640 6768 8460 11280 16920 33840 403861 807722 1211583 1615444 2019305 2423166 3230888 3634749 4038610 4846332 6057915 6461776 7269498 8077220 9692664 12115830 14538996 16154440 18173745 18981467 19385328 24231660 29077992 32308880 36347490 37962934 48463320 56944401 58155984 72694980 75925868 94907335 96926640 113888802 145389960 151851736 170833203 189814670 227777604 284722005 290779920 303703472 341666406 379629340 455555208 569444010 683332812 759258680 854166015 911110416 1138888020 1366665624 1518517360 1708332030 2277776040 2733331248 3416664060 4555552080 6833328120 13666656240