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232553131350444 = 223249109131540231
BaseRepresentation
bin110100111000000101111110…
…110010010001100110101100
31010111101212021120101122011100
4310320011332302101212230
5220440122303111203234
62142333233402123100
766661260246304002
oct6470057662214654
91114355246348140
10232553131350444
116810a257aaa663
12220ba4311b0490
139c9b887803858
14415d8bb20ca72
151bd43921ab399
hexd3817ec919ac

232553131350444 has 36 divisors (see below), whose sum is σ = 587854612210320. Its totient is φ = 77516131378080.

The previous prime is 232553131350437. The next prime is 232553131350499. The reversal of 232553131350444 is 444053131355232.

232553131350444 is a `hidden beast` number, since 2 + 3 + 2 + 5 + 5 + 3 + 131 + 3 + 504 + 4 + 4 = 666.

232553131350444 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a self number, because there is not a number n which added to its sum of digits gives 232553131350444.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64002192 + ... + 67538039.

It is an arithmetic number, because the mean of its divisors is an integer number (16329294783620).

Almost surely, 2232553131350444 is an apocalyptic number.

It is an amenable number.

232553131350444 is an abundant number, since it is smaller than the sum of its proper divisors (355301480859876).

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

232553131350444 is a wasteful number, since it uses less digits than its factorization.

232553131350444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131589350 (or 131589345 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 45.

The spelling of 232553131350444 in words is "two hundred thirty-two trillion, five hundred fifty-three billion, one hundred thirty-one million, three hundred fifty thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 49109 98218 147327 196436 294654 441981 589308 883962 1767924 131540231 263080462 394620693 526160924 789241386 1183862079 1578482772 2367724158 4735448316 6459809204179 12919618408358 19379427612537 25839236816716 38758855225074 58138282837611 77517710450148 116276565675222 232553131350444