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112464317449 = 1124327092
BaseRepresentation
bin110100010111101100…
…1010100110000001001
3101202021211110021101201
41220233121110300021
53320311331124244
6123355420344201
711060653632301
oct1505731246011
9352254407351
10112464317449
11437721a2300
12199680a5061
13a7b3c14a03
14562c5c6601
152dd3625ad4
hex1a2f654c09

112464317449 has 27 divisors (see below), whose sum is σ = 126738248679. Its totient is φ = 99721757520.

The previous prime is 112464317437. The next prime is 112464317519. The reversal of 112464317449 is 944713464211.

The square root of 112464317449 is 335357.

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., 15007965049 + 97456352400 = 122507^2 + 312180^2 .

It is not a de Polignac number, because 112464317449 - 217 = 112464186377 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 112464317399 and 112464317408.

It is not an unprimeable number, because it can be changed into a prime (112464317549) 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 26 ways as a sum of consecutive naturals, for example, 158623507 + ... + 158624215.

Almost surely, 2112464317449 is an apocalyptic number.

112464317449 is the 335357-th square number.

112464317449 is the 167679-th centered octagonal number.

It is an amenable number.

112464317449 is a deficient number, since it is larger than the sum of its proper divisors (14273931230).

112464317449 is an frugal number, since it uses more digits than its factorization.

112464317449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1526 (or 763 counting only the distinct ones).

The product of its digits is 580608, while the sum is 46.

The spelling of 112464317449 in words is "one hundred twelve billion, four hundred sixty-four million, three hundred seventeen thousand, four hundred forty-nine".

Divisors: 1 11 43 121 473 709 1849 5203 7799 20339 30487 85789 223729 335357 502681 1310941 3688927 5529491 14420351 21615283 60824401 158623861 237768113 929457169 2615449243 10224028859 112464317449