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209094232233864 = 233191275281683687
BaseRepresentation
bin101111100010101110001011…
…011011111101011110001000
31000102100012202120000100110110
4233202232023123331132020
5204401244441422440424
62020412321511514320
762020362666001635
oct5742561333753610
91012305676010413
10209094232233864
11606954030254aa
121b54ba433889a0
138c89669a24523
14398c30173118c
15192904a442c29
hexbe2b8b6fd788

209094232233864 has 128 divisors (see below), whose sum is σ = 554686466457600. Its totient is φ = 65497337579520.

The previous prime is 209094232233853. The next prime is 209094232233893. The reversal of 209094232233864 is 468332232490902.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 305491429 + ... + 306175115.

It is an arithmetic number, because the mean of its divisors is an integer number (4333488019200).

Almost surely, 2209094232233864 is an apocalyptic number.

209094232233864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 209094232233864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277343233228800).

209094232233864 is an abundant number, since it is smaller than the sum of its proper divisors (345592234223736).

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

209094232233864 is a wasteful number, since it uses less digits than its factorization.

209094232233864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 689123 (or 689119 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 57.

The spelling of 209094232233864 in words is "two hundred nine trillion, ninety-four billion, two hundred thirty-two million, two hundred thirty-three thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 127 152 228 254 381 456 508 762 1016 1524 2413 3048 4826 5281 7239 9652 10562 14478 15843 19304 21124 28956 31686 42248 57912 63372 100339 126744 200678 301017 401356 602034 670687 683687 802712 1204068 1341374 1367374 2012061 2051061 2408136 2682748 2734748 4024122 4102122 5365496 5469496 8048244 8204244 12743053 12990053 16096488 16408488 25486106 25980106 38229159 38970159 50972212 51960212 76458318 77940318 86828249 101944424 103920424 152916636 155880636 173656498 260484747 305833272 311761272 347312996 520969494 694625992 1041938988 1649736731 2083877976 3299473462 3610551047 4949210193 6598946924 7221102094 9898420386 10831653141 13197893848 14442204188 19796840772 21663306282 28884408376 39593681544 43326612564 68600469893 86653225128 137200939786 205801409679 274401879572 411602819358 458539982969 548803759144 823205638716 917079965938 1375619948907 1646411277432 1834159931876 2751239897814 3668319863752 5502479795628 8712259676411 11004959591256 17424519352822 26136779029233 34849038705644 52273558058466 69698077411288 104547116116932 209094232233864