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12145277557353 = 317802312968213
BaseRepresentation
bin1011000010111100101011…
…1101000101101001101001
31121000002002021102200012210
42300233022331011221221
53042442012023313403
641455244040155333
72362316204614263
oct260571275055151
947002067380183
1012145277557353
113962868610996
121441a04a68b49
136a13aa781085
142ddb980bcb33
15160dd7122b03
hexb0bcaf45a69

12145277557353 has 16 divisors (see below), whose sum is σ = 17146493686656. Its totient is φ = 7620468760320.

The previous prime is 12145277557313. The next prime is 12145277557417. The reversal of 12145277557353 is 35375577254121.

It is a happy number.

It is not a de Polignac number, because 12145277557353 - 26 = 12145277557289 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12145277557293 and 12145277557302.

It is not an unprimeable number, because it can be changed into a prime (12145277557313) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2607675 + ... + 5575887.

It is an arithmetic number, because the mean of its divisors is an integer number (1071655855416).

Almost surely, 212145277557353 is an apocalyptic number.

It is an amenable number.

12145277557353 is a deficient number, since it is larger than the sum of its proper divisors (5001216129303).

12145277557353 is a wasteful number, since it uses less digits than its factorization.

12145277557353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3048464.

The product of its digits is 30870000, while the sum is 57.

The spelling of 12145277557353 in words is "twelve trillion, one hundred forty-five billion, two hundred seventy-seven million, five hundred fifty-seven thousand, three hundred fifty-three".

Divisors: 1 3 17 51 80231 240693 1363927 2968213 4091781 8904639 50459621 151378863 238142697203 714428091609 4048425852451 12145277557353