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213593323104 = 25327105949069
BaseRepresentation
bin1100011011101100100…
…1110111011001100000
3202102022200112001020200
43012323021313121200
511444414342314404
6242042354105200
721301020201420
oct3067311673140
9672280461220
10213593323104
1182647954027
123548bb7b200
13171ac5bc625
14a4a3576480
155851a25839
hex31bb277660

213593323104 has 72 divisors (see below), whose sum is σ = 694178306640. Its totient is φ = 61026663168.

The previous prime is 213593323103. The next prime is 213593323123. The reversal of 213593323104 is 401323395312.

213593323104 is a `hidden beast` number, since 2 + 1 + 3 + 5 + 9 + 332 + 310 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213593323103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52972519 + ... + 52976550.

It is an arithmetic number, because the mean of its divisors is an integer number (9641365370).

Almost surely, 2213593323104 is an apocalyptic number.

213593323104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

213593323104 is an abundant number, since it is smaller than the sum of its proper divisors (480584983536).

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

213593323104 is a wasteful number, since it uses less digits than its factorization.

213593323104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105949092 (or 105949081 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The spelling of 213593323104 in words is "two hundred thirteen billion, five hundred ninety-three million, three hundred twenty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 105949069 211898138 317847207 423796276 635694414 741643483 847592552 953541621 1271388828 1483286966 1695185104 1907083242 2224930449 2542777656 2966573932 3390370208 3814166484 4449860898 5085555312 5933147864 6674791347 7628332968 8899721796 10171110624 11866295728 13349582694 15256665936 17799443592 23732591456 26699165388 30513331872 35598887184 53398330776 71197774368 106796661552 213593323104