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258753789349 = 1122138461069
BaseRepresentation
bin1111000011111011101…
…1010111110110100101
3220201212222220102121121
43300332323113312211
513214411432224344
6314511515413541
724460105630336
oct3607673276645
9821788812547
10258753789349
119a81184a800
12421941542b1
131b5288254c3
14c74925628d
156ae65ae684
hex3c3eed7da5

258753789349 has 6 divisors (see below), whose sum is σ = 284415322310. Its totient is φ = 235230717480.

The previous prime is 258753789323. The next prime is 258753789391. The reversal of 258753789349 is 943987357852.

It can be written as a sum of positive squares in only one way, i.e., 212814297124 + 45939492225 = 461318^2 + 214335^2 .

It is not a de Polignac number, because 258753789349 - 211 = 258753787301 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258753789149) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1069230414 + ... + 1069230655.

Almost surely, 2258753789349 is an apocalyptic number.

It is an amenable number.

258753789349 is a deficient number, since it is larger than the sum of its proper divisors (25661532961).

258753789349 is a wasteful number, since it uses less digits than its factorization.

258753789349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2138461091 (or 2138461080 counting only the distinct ones).

The product of its digits is 457228800, while the sum is 70.

The spelling of 258753789349 in words is "two hundred fifty-eight billion, seven hundred fifty-three million, seven hundred eighty-nine thousand, three hundred forty-nine".

Divisors: 1 11 121 2138461069 23523071759 258753789349