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12455140064 = 254161155627
BaseRepresentation
bin10111001100110001…
…00101101011100000
31012011000112200010212
423212120211223200
5201002003440224
65415524513252
7620435641463
oct134630455340
935130480125
1012455140064
115311669094
1224b724b828
131236540c83
148622572da
154cd6c6d0e
hex2e6625ae0

12455140064 has 48 divisors (see below), whose sum is σ = 25531084656. Its totient is φ = 5976038400.

The previous prime is 12455140043. The next prime is 12455140111. The reversal of 12455140064 is 46004155421.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 12455140064.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2219 + ... + 157845.

It is an arithmetic number, because the mean of its divisors is an integer number (531897597).

Almost surely, 212455140064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12455140064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12765542328).

12455140064 is an abundant number, since it is smaller than the sum of its proper divisors (13075944592).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12455140064 is a wasteful number, since it uses less digits than its factorization.

12455140064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155739 (or 155731 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

Adding to 12455140064 its reverse (46004155421), we get a palindrome (58459295485).

The spelling of 12455140064 in words is "twelve billion, four hundred fifty-five million, one hundred forty thousand, sixty-four".

Divisors: 1 2 4 8 16 32 41 61 82 122 164 244 328 488 656 976 1312 1952 2501 5002 10004 20008 40016 80032 155627 311254 622508 1245016 2490032 4980064 6380707 9493247 12761414 18986494 25522828 37972988 51045656 75945976 102091312 151891952 204182624 303783904 389223127 778446254 1556892508 3113785016 6227570032 12455140064