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112633043432445 = 32517373979263149
BaseRepresentation
bin11001100111000001101100…
…100010110011001111111101
3112202210121120110021222101200
4121213001230202303033331
5104230334433104314240
61035314523354330113
732503316546436444
oct3147015442631775
9482717513258350
10112633043432445
1132985450753428
1210771056429939
134ab0334238603
141db567b38dd5b
15d04c9d459930
hex66706c8b33fd

112633043432445 has 48 divisors (see below), whose sum is σ = 212301647578800. Its totient is φ = 55009333757952.

The previous prime is 112633043432423. The next prime is 112633043432477. The reversal of 112633043432445 is 544234340336211.

112633043432445 is a `hidden beast` number, since 1 + 1 + 2 + 63 + 3 + 0 + 4 + 343 + 244 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 22242749953284 + 90390293479161 = 4716222^2 + 9507381^2 .

It is not a de Polignac number, because 112633043432445 - 26 = 112633043432381 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 112633043432445.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1989603270 + ... + 1989659879.

It is an arithmetic number, because the mean of its divisors is an integer number (4422950991225).

Almost surely, 2112633043432445 is an apocalyptic number.

112633043432445 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

112633043432445 is a deficient number, since it is larger than the sum of its proper divisors (99668604146355).

112633043432445 is a wasteful number, since it uses less digits than its factorization.

112633043432445 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3979263214 (or 3979263211 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 45.

Adding to 112633043432445 its reverse (544234340336211), we get a palindrome (656867383768656).

The spelling of 112633043432445 in words is "one hundred twelve trillion, six hundred thirty-three billion, forty-three million, four hundred thirty-two thousand, four hundred forty-five".

Divisors: 1 3 5 9 15 17 37 45 51 85 111 153 185 255 333 555 629 765 1665 1887 3145 5661 9435 28305 3979263149 11937789447 19896315745 35813368341 59688947235 67647473533 147232736513 179066841705 202942420599 338237367665 441698209539 608827261797 736163682565 1014712102995 1325094628617 2208491047695 2502956520721 3044136308985 6625473143085 7508869562163 12514782603605 22526608686489 37544347810815 112633043432445