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2313358866729 = 3417299412
BaseRepresentation
bin100001101010011110111…
…011101111100100101001
322012011011221211121210000
4201222132323233210221
5300400224332213404
64530424205013213
7326064121631631
oct41523673574451
98164157747700
102313358866729
118120a9853409
12314417254209
1313a1c1c03941
147dd77c956c1
1540298379339
hex21a9eeef929

2313358866729 has 45 divisors (see below), whose sum is σ = 3671365164181. Its totient is φ = 1451373275520.

The previous prime is 2313358866719. The next prime is 2313358866733. The reversal of 2313358866729 is 9276688533132.

It is a happy number.

The square root of 2313358866729 is 1520973.

It is a perfect power (a square), and thus also a powerful number.

2313358866729 is a `hidden beast` number, since 23 + 1 + 3 + 3 + 588 + 6 + 6 + 7 + 29 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 485314256025 + 1828044610704 = 696645^2 + 1352052^2 .

It is not a de Polignac number, because 2313358866729 - 213 = 2313358858537 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2313358866719) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 232703899 + ... + 232713839.

Almost surely, 22313358866729 is an apocalyptic number.

2313358866729 is the 1520973-rd square number.

2313358866729 is the 760487-th centered octagonal number.

It is an amenable number.

2313358866729 is a deficient number, since it is larger than the sum of its proper divisors (1358006297452).

2313358866729 is an frugal number, since it uses more digits than its factorization.

2313358866729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19928 (or 9961 counting only the distinct ones).

The product of its digits is 78382080, while the sum is 63.

The spelling of 2313358866729 in words is "two trillion, three hundred thirteen billion, three hundred fifty-eight million, eight hundred sixty-six thousand, seven hundred twenty-nine".

Divisors: 1 3 9 17 27 51 81 153 289 459 867 1377 2601 7803 9941 23409 29823 89469 168997 268407 506991 805221 1520973 2872949 4562919 8618847 13688757 25856541 77569623 98823481 232708869 296470443 889411329 1679999177 2668233987 5039997531 8004701961 15119992593 28559986009 45359977779 85679958027 136079933337 257039874081 771119622243 2313358866729