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12917027424 = 2537233126959
BaseRepresentation
bin11000000011110101…
…00011001001100000
31020100012122222111010
430001322203021200
5202423224334144
65533424420520
7635044631040
oct140172431140
936305588433
1012917027424
115529363984
122605a77740
1312ab1405c2
148a772b720
155090125b9
hex301ea3260

12917027424 has 192 divisors, whose sum is σ = 41741844480. Its totient is φ = 3416117760.

The previous prime is 12917027423. The next prime is 12917027443. The reversal of 12917027424 is 42472071921.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12917027423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 465657 + ... + 492615.

It is an arithmetic number, because the mean of its divisors is an integer number (217405440).

Almost surely, 212917027424 is an apocalyptic number.

12917027424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12917027424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20870922240).

12917027424 is an abundant number, since it is smaller than the sum of its proper divisors (28824817056).

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

12917027424 is a wasteful number, since it uses less digits than its factorization.

12917027424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27033 (or 27025 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The spelling of 12917027424 in words is "twelve billion, nine hundred seventeen million, twenty-seven thousand, four hundred twenty-four".