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89742943917 = 3211172912011531
BaseRepresentation
bin101001110010100011…
…0001010011010101101
322120122100011220110200
41103211012022122231
52432243143201132
6105121034424113
76324625302624
oct1234506123255
9276570156420
1089742943917
1135072609050
1215486892039
1386027abca3
1444b4b066bb
152503a01d7c
hex14e518a6ad

89742943917 has 96 divisors (see below), whose sum is σ = 155124927360. Its totient is φ = 49351680000.

The previous prime is 89742943909. The next prime is 89742943937. The reversal of 89742943917 is 71934924798.

89742943917 is a `hidden beast` number, since 89 + 7 + 429 + 43 + 91 + 7 = 666.

It is not a de Polignac number, because 89742943917 - 23 = 89742943909 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89742943907) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 58616442 + ... + 58617972.

It is an arithmetic number, because the mean of its divisors is an integer number (1615884660).

Almost surely, 289742943917 is an apocalyptic number.

89742943917 is a gapful number since it is divisible by the number (87) formed by its first and last digit.

It is an amenable number.

89742943917 is a deficient number, since it is larger than the sum of its proper divisors (65381983443).

89742943917 is a wasteful number, since it uses less digits than its factorization.

89742943917 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2795 (or 2792 counting only the distinct ones).

The product of its digits is 27433728, while the sum is 63.

The spelling of 89742943917 in words is "eighty-nine billion, seven hundred forty-two million, nine hundred forty-three thousand, nine hundred seventeen".

Divisors: 1 3 9 11 17 29 33 51 87 99 153 187 261 319 493 561 957 1201 1479 1531 1683 2871 3603 4437 4593 5423 10809 13211 13779 16269 16841 20417 26027 34829 39633 44399 48807 50523 61251 78081 104487 118899 133197 151569 183753 224587 234243 286297 313461 383119 399591 488389 592093 673761 754783 858891 1149357 1465167 1776279 1838731 2021283 2264349 2576673 3448071 4395501 5328837 5516193 6513023 6793047 8302613 16548579 19539069 20226041 24907839 31258427 53323199 58617207 60678123 74723517 93775281 159969597 182034369 281325843 343842697 479908791 586555189 906494383 1031528091 1759665567 2719483149 3094584273 5278996701 8158449447 9971438213 29914314639 89742943917