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424737198816 = 25372973298559
BaseRepresentation
bin1100010111001000100…
…11110101001011100000
31111121022122222021100120
412023210103311023200
523424330210330231
6523042132120240
742454245423120
oct6134423651340
91447278867316
10424737198816
11154148091a67
126a397766080
133108b59c5a8
14167b369ac80
15b0ad4a8d96
hex62e44f52e0

424737198816 has 192 divisors, whose sum is σ = 1336211251200. Its totient is φ = 115563442176.

The previous prime is 424737198811. The next prime is 424737198833. The reversal of 424737198816 is 618891737424.

It is a self number, because there is not a number n which added to its sum of digits gives 424737198816.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424737198811) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1273345 + ... + 1571903.

It is an arithmetic number, because the mean of its divisors is an integer number (6959433600).

Almost surely, 2424737198816 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 424737198816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668105625600).

424737198816 is an abundant number, since it is smaller than the sum of its proper divisors (911474052384).

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

424737198816 is a wasteful number, since it uses less digits than its factorization.

424737198816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298681 (or 298673 counting only the distinct ones).

The product of its digits is 16257024, while the sum is 60.

The spelling of 424737198816 in words is "four hundred twenty-four billion, seven hundred thirty-seven million, one hundred ninety-eight thousand, eight hundred sixteen".