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8613139249 = 114132592
BaseRepresentation
bin10000000010110001…
…00001001100110001
3211020021010210211101
420001120201030301
5120114430423444
63542401244401
7423304322101
oct100130411461
924207123741
108613139249
11371a990000
121804633701
13a7358c400
145b9cb1201
153562613d4
hex201621331

8613139249 has 45 divisors (see below), whose sum is σ = 10436088315. Its totient is φ = 7105303920.

The previous prime is 8613139201. The next prime is 8613139259. The reversal of 8613139249 is 9429313168.

It is a happy number.

The square root of 8613139249 is 92807.

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

It can be written as a sum of positive squares in only one way, i.e., 1274133025 + 7339006224 = 35695^2 + 85668^2 .

It is not a de Polignac number, because 8613139249 - 211 = 8613137201 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 8613139199 and 8613139208.

It is not an unprimeable number, because it can be changed into a prime (8613139259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 145985382 + ... + 145985440.

Almost surely, 28613139249 is an apocalyptic number.

8613139249 is the 92807-th square number.

8613139249 is the 46404-th centered octagonal number.

It is an amenable number.

8613139249 is a deficient number, since it is larger than the sum of its proper divisors (1822949066).

8613139249 is an frugal number, since it uses more digits than its factorization.

8613139249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 83 counting only the distinct ones).

The product of its digits is 279936, while the sum is 46.

The cubic root of 8613139249 is about 2049.8424823646.

The spelling of 8613139249 in words is "eight billion, six hundred thirteen million, one hundred thirty-nine thousand, two hundred forty-nine".

Divisors: 1 11 13 59 121 143 169 649 767 1331 1573 1859 3481 7139 8437 9971 14641 17303 20449 38291 45253 78529 92807 109681 190333 224939 421201 497783 588289 863819 1020877 1206491 2474329 4633211 5475613 6471179 11229647 13271401 50965321 60231743 71182969 145985411 662549173 783012659 8613139249