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13642216200 = 23325227532
BaseRepresentation
bin11001011010010001…
…11011001100001000
31022012202020101110200
430231020323030020
5210414401404300
610133412012200
7662031632034
oct145510731410
938182211420
1013642216200
115870747a48
122788901060
13139545baa2
14935b811c4
1554ca0d200
hex32d23b308

13642216200 has 108 divisors (see below), whose sum is σ = 45831757335. Its totient is φ = 3636602880.

The previous prime is 13642216187. The next prime is 13642216207. The reversal of 13642216200 is 261224631.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

13642216200 is a `hidden beast` number, since 1 + 3 + 642 + 2 + 16 + 2 + 0 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 11479408164 + 2162808036 = 107142^2 + 46506^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=82590.

It is a super-2 number, since 2×136422162002 (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (13642216207) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4954024 + ... + 4956776.

Almost surely, 213642216200 is an apocalyptic number.

13642216200 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 13642216200

13642216200 is an abundant number, since it is smaller than the sum of its proper divisors (32189541135).

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

13642216200 is an equidigital number, since it uses as much as digits as its factorization.

13642216200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5528 (or 2763 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 13642216200 in words is "thirteen billion, six hundred forty-two million, two hundred sixteen thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 2753 5506 8259 11012 13765 16518 22024 24777 27530 33036 41295 49554 55060 66072 68825 82590 99108 110120 123885 137650 165180 198216 206475 247770 275300 330360 412950 495540 550600 619425 825900 991080 1238850 1651800 2477700 4955400 7579009 15158018 22737027 30316036 37895045 45474054 60632072 68211081 75790090 90948108 113685135 136422162 151580180 181896216 189475225 227370270 272844324 303160360 341055405 378950450 454740540 545688648 568425675 682110810 757900900 909481080 1136851350 1364221620 1515801800 1705277025 2273702700 2728443240 3410554050 4547405400 6821108100 13642216200