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12416456152225 = 521373933614873
BaseRepresentation
bin1011010010101110111001…
…1101010101010010100001
31121222000001011210121210201
42310223232131111102201
53111412400233332400
642224012522425201
72421026233625506
oct264535635252241
947860034717721
1012416456152225
113a5787588aa04
121486486062201
136c0b364561b8
1430cd615334ad
15167ea93b606a
hexb4aee7554a1

12416456152225 has 12 divisors (see below), whose sum is σ = 15396521949036. Its totient is φ = 9933089876480.

The previous prime is 12416456152201. The next prime is 12416456152231. The reversal of 12416456152225 is 52225165461421.

It can be written as a sum of positive squares in 6 ways, for example, as 34509749824 + 12381946402401 = 185768^2 + 3518799^2 .

It is not a de Polignac number, because 12416456152225 - 235 = 12382096413857 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1627389 + ... + 5242261.

It is an arithmetic number, because the mean of its divisors is an integer number (1283043495753).

Almost surely, 212416456152225 is an apocalyptic number.

It is an amenable number.

12416456152225 is a deficient number, since it is larger than the sum of its proper divisors (2980065796811).

12416456152225 is a wasteful number, since it uses less digits than its factorization.

12416456152225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3752276 (or 3752271 counting only the distinct ones).

The product of its digits is 1152000, while the sum is 46.

The spelling of 12416456152225 in words is "twelve trillion, four hundred sixteen billion, four hundred fifty-six million, one hundred fifty-two thousand, two hundred twenty-five".

Divisors: 1 5 25 137393 686965 3434825 3614873 18074365 90371825 496658246089 2483291230445 12416456152225