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232136281053252 = 223223733840518183
BaseRepresentation
bin110100110010000001110000…
…100100100101100001000100
31010102221000022120000110220100
4310302001300210211201010
5220411310100422201002
62141413534005404100
766616202306243052
oct6462016044454104
91112830276013810
10232136281053252
1167a69497968614
1222051696a09630
139c6b4851c8974
1441476551b91d2
151bc85e630c11c
hexd32070925844

232136281053252 has 72 divisors (see below), whose sum is σ = 620689186825344. Its totient is φ = 73000569603456.

The previous prime is 232136281053217. The next prime is 232136281053253. The reversal of 232136281053252 is 252350182631232.

232136281053252 is a `hidden beast` number, since 2 + 3 + 2 + 1 + 3 + 62 + 8 + 1 + 0 + 532 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 232136281053198 and 232136281053207.

It is not an unprimeable number, because it can be changed into a prime (232136281053253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1920198648 + ... + 1920319535.

It is an arithmetic number, because the mean of its divisors is an integer number (8620683150352).

Almost surely, 2232136281053252 is an apocalyptic number.

It is an amenable number.

232136281053252 is an abundant number, since it is smaller than the sum of its proper divisors (388552905772092).

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

232136281053252 is a wasteful number, since it uses less digits than its factorization.

232136281053252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3840518289 (or 3840518284 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 232136281053252 in words is "two hundred thirty-two trillion, one hundred thirty-six billion, two hundred eighty-one million, fifty-three thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 73 92 138 146 207 219 276 292 414 438 657 828 876 1314 1679 2628 3358 5037 6716 10074 15111 20148 30222 60444 3840518183 7681036366 11521554549 15362072732 23043109098 34564663647 46086218196 69129327294 88331918209 138258654588 176663836418 264995754627 280357827359 353327672836 529991509254 560715654718 794987263881 841073482077 1059983018508 1121431309436 1589974527762 1682146964154 2523220446231 3179949055524 3364293928308 5046440892462 6448230029257 10092881784924 12896460058514 19344690087771 25792920117028 38689380175542 58034070263313 77378760351084 116068140526626 232136281053252