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232433121334232 = 237131198126648549
BaseRepresentation
bin110100110110010110001101…
…101000011001001111011000
31010110222101111212101011000002
4310312112031220121033120
5220431141013030143412
62142202145111032132
766646511266063550
oct6466261550311730
91113871455334002
10232433121334232
1168073373524185
122209b11a06b648
139c90470520440
144157b7481a160
151bd11bb3c7dc2
hexd3658da193d8

232433121334232 has 64 divisors (see below), whose sum is σ = 536428915848000. Its totient is φ = 91943886251520.

The previous prime is 232433121334213. The next prime is 232433121334273.

232433121334232 is nontrivially palindromic in base 10.

232433121334232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4602107 + ... + 22046442.

It is an arithmetic number, because the mean of its divisors is an integer number (8381701810125).

Almost surely, 2232433121334232 is an apocalyptic number.

It is an amenable number.

232433121334232 is an abundant number, since it is smaller than the sum of its proper divisors (303995794513768).

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

232433121334232 is a wasteful number, since it uses less digits than its factorization.

232433121334232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26660556 (or 26660552 counting only the distinct ones).

The product of its digits is 373248, while the sum is 38.

The spelling of 232433121334232 in words is "two hundred thirty-two trillion, four hundred thirty-three billion, one hundred twenty-one million, three hundred thirty-four thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 182 364 728 11981 23962 47924 83867 95848 155753 167734 311506 335468 623012 670936 1090271 1246024 2180542 4361084 8722168 26648549 53297098 106594196 186539843 213188392 346431137 373079686 692862274 746159372 1385724548 1492318744 2425017959 2771449096 4850035918 9700071836 19400143672 319276265569 638552531138 1277105062276 2234933858983 2554210124552 4150591452397 4469867717966 8301182904794 8939735435932 16602365809588 17879470871864 29054140166779 33204731619176 58108280333558 116216560667116 232433121334232