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12326144252345 = 5711107401746171
BaseRepresentation
bin1011001101011110011101…
…1100110001100110111001
31121122100221012000202110222
42303113213130301212321
53103422420412033340
642114315201145425
72411351226301040
oct263274734614671
947570835022428
1012326144252345
113a225410a7920
121470a8092b275
136b5472b2a8a1
14308835045557
151659709798b5
hexb35e77319b9

12326144252345 has 64 divisors (see below), whose sum is σ = 18659982845952. Its totient is φ = 7593025920000.

The previous prime is 12326144252273. The next prime is 12326144252381. The reversal of 12326144252345 is 54325244162321.

It is not a de Polignac number, because 12326144252345 - 226 = 12326077143481 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12326144252296 and 12326144252305.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16146110 + ... + 16892280.

It is an arithmetic number, because the mean of its divisors is an integer number (291562231968).

Almost surely, 212326144252345 is an apocalyptic number.

It is an amenable number.

12326144252345 is a deficient number, since it is larger than the sum of its proper divisors (6333838593607).

12326144252345 is a wasteful number, since it uses less digits than its factorization.

12326144252345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 746702.

The product of its digits is 1382400, while the sum is 44.

The spelling of 12326144252345 in words is "twelve trillion, three hundred twenty-six billion, one hundred forty-four million, two hundred fifty-two thousand, three hundred forty-five".

Divisors: 1 5 7 11 35 55 77 107 385 401 535 749 1177 2005 2807 3745 4411 5885 8239 14035 22055 30877 41195 42907 154385 214535 300349 471977 746171 1501745 2359885 3303839 3730855 5223197 8207881 16519195 26115985 41039405 57455167 79840297 287275835 299214571 399201485 558882079 878243267 1496072855 2094501997 2794410395 3291360281 4391216335 6147702869 10472509985 16456801405 23039521967 30738514345 32015959097 115197609835 160079795485 224111713679 352175550067 1120558568395 1760877750335 2465228850469 12326144252345