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918224114742 = 234113713926413
BaseRepresentation
bin11010101110010100110…
…11000001010000110110
310020210002121200000220000
431113022123001100312
5110021010333132432
61541454253252130
7123224310124254
oct15271233012066
93223077600800
10918224114742
11324464635a50
12129b5b494046
1368785267c5c
14326298b15d4
1518d4240457c
hexd5ca6c1436

918224114742 has 80 divisors (see below), whose sum is σ = 2305211456592. Its totient is φ = 270729449280.

The previous prime is 918224114719. The next prime is 918224114803. The reversal of 918224114742 is 247411422819.

918224114742 is a `hidden beast` number, since 91 + 82 + 2 + 4 + 11 + 474 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6897273 + ... + 7029140.

Almost surely, 2918224114742 is an apocalyptic number.

918224114742 is an abundant number, since it is smaller than the sum of its proper divisors (1386987341850).

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

918224114742 is a wasteful number, since it uses less digits than its factorization.

918224114742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13926475 (or 13926466 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The spelling of 918224114742 in words is "nine hundred eighteen billion, two hundred twenty-four million, one hundred fourteen thousand, seven hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 37 54 66 74 81 99 111 162 198 222 297 333 407 594 666 814 891 999 1221 1782 1998 2442 2997 3663 5994 7326 10989 21978 32967 65934 13926413 27852826 41779239 83558478 125337717 153190543 250675434 306381086 376013151 459571629 515277281 752026302 919143258 1030554562 1128039453 1378714887 1545831843 2256078906 2757429774 3091663686 4136144661 4637495529 5668050091 8272289322 9274991058 11336100182 12408433983 13912486587 17004150273 24816867966 27824973174 34008300546 41737459761 51012450819 83474919522 102024901638 153037352457 306074704914 459112057371 918224114742