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18943583089431 = 3731113532429041
BaseRepresentation
bin1000100111010101001011…
…00010100111001100010111
32111001222200212200002002110
410103222211202213030113
54440332424232330211
6104142321213242103
73663425435316000
oct423524542471427
974058625602073
1018943583089431
116043a23883220
12215b487793333
13a754ab9c9ca0
14496c3518c1a7
1522cb7573cea6
hex113aa58a7317

18943583089431 has 128 divisors (see below), whose sum is σ = 35258030438400. Its totient is φ = 8912439244800.

The previous prime is 18943583089421. The next prime is 18943583089507. The reversal of 18943583089431 is 13498038534981.

It is a happy number.

It is not a de Polignac number, because 18943583089431 - 225 = 18943549534999 is a prime.

It is a super-2 number, since 2×189435830894312 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18943583089421) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6584271 + ... + 9013311.

It is an arithmetic number, because the mean of its divisors is an integer number (275453362800).

Almost surely, 218943583089431 is an apocalyptic number.

18943583089431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

18943583089431 is a deficient number, since it is larger than the sum of its proper divisors (16314447348969).

18943583089431 is a wasteful number, since it uses less digits than its factorization.

18943583089431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2429142 (or 2429128 counting only the distinct ones).

The product of its (nonzero) digits is 89579520, while the sum is 66.

The spelling of 18943583089431 in words is "eighteen trillion, nine hundred forty-three billion, five hundred eighty-three million, eighty-nine thousand, four hundred thirty-one".

Divisors: 1 3 7 11 13 21 33 39 49 53 77 91 143 147 159 231 273 343 371 429 539 583 637 689 1001 1029 1113 1617 1749 1911 2067 2597 3003 3773 4081 4459 4823 7007 7579 7791 11319 12243 13377 14469 18179 21021 22737 28567 33761 49049 53053 54537 85701 101283 147147 159159 199969 236327 371371 599907 708981 1114113 2429041 2599597 7287123 7798791 17003287 26719451 31577533 51009861 80158353 94732599 119023009 128739173 187036157 221042731 347352863 357069027 386217519 561108471 663128193 833161063 901174211 1042058589 1309253099 1416130903 1547299117 1673609249 2431470041 2499483189 2703522633 3927759297 4248392709 4641897351 5020827747 6308219477 7294410123 9164771693 9912916321 10831093819 11715264743 17020290287 18409701739 18924658431 27494315079 29738748963 32493281457 35145794229 44157536339 51060870861 55229105217 69390414247 82006853201 119142032009 128867912173 132472609017 208171242741 246020559603 357426096027 386603736519 485732899729 574047972407 902075385211 1457198699187 1722143917221 2706226155633 6314527696477 18943583089431