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13224795024 = 24372231511619
BaseRepresentation
bin11000101000100001…
…00101101110010000
31021010122210012021010
430110100211232100
5204041021420044
610024141130520
7645502621500
oct142420455620
937118705233
1013224795024
115677063271
122690b59a40
131329b2aacc
148d6563a00
15526057bb9
hex314425b90

13224795024 has 240 divisors, whose sum is σ = 41770183680. Its totient is φ = 3588076800.

The previous prime is 13224795019. The next prime is 13224795137. The reversal of 13224795024 is 42059742231.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 8167687 + ... + 8169305.

It is an arithmetic number, because the mean of its divisors is an integer number (174042432).

Almost surely, 213224795024 is an apocalyptic number.

13224795024 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 13224795024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20885091840).

13224795024 is an abundant number, since it is smaller than the sum of its proper divisors (28545388656).

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

13224795024 is a wasteful number, since it uses less digits than its factorization.

13224795024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1818 (or 1805 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The spelling of 13224795024 in words is "thirteen billion, two hundred twenty-four million, seven hundred ninety-five thousand, twenty-four".