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112484439769 = 132257992
BaseRepresentation
bin110100011000010011…
…0000101011011011001
3101202100020022121000211
41220300212011123121
53320332004033034
6123401415531121
711061316651042
oct1506046053331
9352306277024
10112484439769
1143782596519
1219972989aa1
13a7b813ba00
1456311438c9
152dd529cd64
hex1a309856d9

112484439769 has 9 divisors (see below), whose sum is σ = 121807398783. Its totient is φ = 103827765912.

The previous prime is 112484439751. The next prime is 112484439817. The reversal of 112484439769 is 967934484211.

The square root of 112484439769 is 335387.

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., 16639710025 + 95844729744 = 128995^2 + 309588^2 .

It is not a de Polignac number, because 112484439769 - 221 = 112482342617 is a prime.

It is a super-2 number, since 2×1124844397692 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (112484439709) 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 8 ways as a sum of consecutive naturals, for example, 4347132 + ... + 4372930.

Almost surely, 2112484439769 is an apocalyptic number.

112484439769 is the 335387-th square number.

112484439769 is the 167694-th centered octagonal number.

It is an amenable number.

112484439769 is a deficient number, since it is larger than the sum of its proper divisors (9322959014).

112484439769 is an frugal number, since it uses more digits than its factorization.

112484439769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51624 (or 25812 counting only the distinct ones).

The product of its digits is 10450944, while the sum is 58.

The spelling of 112484439769 in words is "one hundred twelve billion, four hundred eighty-four million, four hundred thirty-nine thousand, seven hundred sixty-nine".

Divisors: 1 13 169 25799 335387 4360031 665588401 8652649213 112484439769