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232008033238044 = 223737144751588569
BaseRepresentation
bin110100110000001010010100…
…011001111111110000011100
31010102110202021202010102221120
4310300022110121333300130
5220402204423002104134
62141235004041530540
766604012226635140
oct6460122431776034
91112422252112846
10232008033238044
1167a1a066364898
1222030864aa3a50
139c5c35734238b
14414136a6db220
151bc50dc209649
hexd3029467fc1c

232008033238044 has 96 divisors (see below), whose sum is σ = 635848522552320. Its totient is φ = 64451867899392.

The previous prime is 232008033238039. The next prime is 232008033238129. The reversal of 232008033238044 is 440832330800232.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 232008033237987 and 232008033238005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21297009 + ... + 30291560.

It is an arithmetic number, because the mean of its divisors is an integer number (6623422109920).

Almost surely, 2232008033238044 is an apocalyptic number.

It is an amenable number.

232008033238044 is an abundant number, since it is smaller than the sum of its proper divisors (403840489314276).

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

232008033238044 is a wasteful number, since it uses less digits than its factorization.

232008033238044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51590067 (or 51590065 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 42.

The spelling of 232008033238044 in words is "two hundred thirty-two trillion, eight billion, thirty-three million, two hundred thirty-eight thousand, forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 37 42 74 84 111 148 222 259 444 518 777 1036 1447 1554 2894 3108 4341 5788 8682 10129 17364 20258 30387 40516 53539 60774 107078 121548 160617 214156 321234 374773 642468 749546 1124319 1499092 2248638 4497276 51588569 103177138 154765707 206354276 309531414 361119983 619062828 722239966 1083359949 1444479932 1908777053 2166719898 3817554106 4333439796 5726331159 7635108212 11452662318 13361439371 22905324636 26722878742 40084318113 53445757484 74648659343 80168636226 149297318686 160337272452 223945978029 298594637372 447891956058 522540615401 895783912116 1045081230802 1567621846203 2090162461604 2762000395691 3135243692406 5524000791382 6270487384812 8286001187073 11048001582764 16572002374146 19334002769837 33144004748292 38668005539674 58002008309511 77336011079348 116004016619022 232008033238044