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232643343346232 = 237131277250246697
BaseRepresentation
bin110100111001011001111111…
…110101101110101000111000
31010111201111010121011211211112
4310321121333311232220320
5220443112031344034412
62142442513154215452
7100000632631516040
oct6471317765565070
91114644117154745
10232643343346232
1168144540357285
1222113a08b84588
139ca7233520210
144163dd8332720
151bd68c1e61722
hexd3967fd6ea38

232643343346232 has 64 divisors (see below), whose sum is σ = 537289670473920. Its totient is φ = 91962657819648.

The previous prime is 232643343346229. The next prime is 232643343346291.

It is a happy number.

232643343346232 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 124193693 + ... + 126053004.

It is an arithmetic number, because the mean of its divisors is an integer number (8395151101155).

Almost surely, 2232643343346232 is an apocalyptic number.

It is an amenable number.

232643343346232 is an abundant number, since it is smaller than the sum of its proper divisors (304646327127688).

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

232643343346232 is a wasteful number, since it uses less digits than its factorization.

232643343346232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250248000 (or 250247996 counting only the distinct ones).

The product of its digits is 26873856, while the sum is 50.

The spelling of 232643343346232 in words is "two hundred thirty-two trillion, six hundred forty-three billion, three hundred forty-three million, three hundred forty-six thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 182 364 728 1277 2554 5108 8939 10216 16601 17878 33202 35756 66404 71512 116207 132808 232414 464828 929656 250246697 500493394 1000986788 1751726879 2001973576 3253207061 3503453758 6506414122 7006907516 13012828244 14013815032 22772449427 26025656488 45544898854 91089797708 182179595416 319565032069 639130064138 1278260128276 2236955224483 2556520256552 4154345416897 4473910448966 8308690833794 8947820897932 16617381667588 17895641795864 29080417918279 33234763335176 58160835836558 116321671673116 232643343346232