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83245861422889 = 1121729725032
BaseRepresentation
bin10010111011011000101111…
…111111111100011100101001
3101220202020010012202122200121
4102323120233333330130221
541402400011011013024
6453014342031403241
723351213023024624
oct2273305777743451
9356666105678617
1083245861422889
112458540a615900
129405732683521
13375b0881ccab9
14167b19a794dbb
1599563899b8e4
hex4bb62fffc729

83245861422889 has 81 divisors (see below), whose sum is σ = 98408756703621. Its totient is φ = 70351969290240.

The previous prime is 83245861422881. The next prime is 83245861422931. The reversal of 83245861422889 is 98822416854238.

The square root of 83245861422889 is 9123917.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 4873793582889 + 78372067840000 = 2207667^2 + 8852800^2 .

It is not a de Polignac number, because 83245861422889 - 23 = 83245861422881 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (83245861422881) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 165498730212 + ... + 165498730714.

Almost surely, 283245861422889 is an apocalyptic number.

83245861422889 is the 9123917-th square number.

83245861422889 is the 4561959-th centered octagonal number.

It is an amenable number.

83245861422889 is a deficient number, since it is larger than the sum of its proper divisors (15162895280732).

83245861422889 is an frugal number, since it uses more digits than its factorization.

83245861422889 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1256 (or 628 counting only the distinct ones).

The product of its digits is 424673280, while the sum is 70.

The spelling of 83245861422889 in words is "eighty-three trillion, two hundred forty-five billion, eight hundred sixty-one million, four hundred twenty-two thousand, eight hundred eighty-nine".

Divisors: 1 11 17 97 121 187 289 503 1067 1649 2057 3179 5533 8551 9409 11737 18139 28033 34969 48791 60863 94061 103499 145367 159953 199529 253009 308363 536701 829447 1034671 1138489 1599037 1759483 2719201 2783099 3391993 4301153 4732727 5903711 9123917 14100599 17589407 19354313 24541873 29911211 30614089 47312683 52059997 73119601 80456359 100363087 155106589 269960603 329023321 417211841 520439513 572659967 804315611 885019949 1367758103 1706172479 2380561681 2969566633 4589330251 7092601297 8847471721 9735219439 15045339133 26186178491 40469548577 50482632761 78018614267 165498730463 288047963401 445165034347 687982325809 858204756937 4896815377817 7567805583899 83245861422889