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337103367104742 = 237220813323165811
BaseRepresentation
bin100110010100101111111111…
…0011100101110100011100110
31122012120202201021001022100020
41030221133332130232203212
5323141100143434322432
63152543052100500010
7131001625456265100
oct11451377634564346
91565522637038306
10337103367104742
119845880a511607
1231984a836aa606
1311613932428194
145d35c66322570
1528e8c7397c22c
hex13297fe72e8e6

337103367104742 has 96 divisors (see below), whose sum is σ = 784899043311744. Its totient is φ = 96239413670400.

The previous prime is 337103367104737. The next prime is 337103367104771. The reversal of 337103367104742 is 247401763301733.

It is a super-2 number, since 2×3371033671047422 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2032975017 + ... + 2033140827.

It is an arithmetic number, because the mean of its divisors is an integer number (8176031701164).

Almost surely, 2337103367104742 is an apocalyptic number.

337103367104742 is an abundant number, since it is smaller than the sum of its proper divisors (447795676207002).

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

337103367104742 is a wasteful number, since it uses less digits than its factorization.

337103367104742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171234 (or 171227 counting only the distinct ones).

The product of its (nonzero) digits is 5334336, while the sum is 51.

The spelling of 337103367104742 in words is "three hundred thirty-seven trillion, one hundred three billion, three hundred sixty-seven million, one hundred four thousand, seven hundred forty-two".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 294 2081 3323 4162 6243 6646 9969 12486 14567 19938 23261 29134 43701 46522 69783 87402 101969 139566 162827 165811 203938 305907 325654 331622 488481 497433 611814 976962 994866 1160677 2321354 3482031 6915163 6964062 8124739 13830326 16249478 20745489 24374217 41490978 48406141 48748434 96812282 145218423 290436846 338842987 345052691 550989953 677685974 690105382 1016528961 1035158073 1101979906 1652969859 2033057922 2070316146 2415368837 3305939718 3856929671 4830737674 7246106511 7713859342 11570789013 14492213022 16907581859 23141578026 26998507697 33815163718 50722745577 53997015394 80995523091 101445491154 161991046182 1146610092193 2293220184386 3439830276579 6879660553158 8026270645351 16052541290702 24078811936053 48157623872106 56183894517457 112367789034914 168551683552371 337103367104742