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74305340928 = 29357136563
BaseRepresentation
bin100010100110011110…
…0011000011000000000
321002210110121102100000
41011030330120120000
52204134131402203
654045125200000
75240232656010
oct1051474303000
9232713542300
1074305340928
1129570478475
1212498860000
1370123b6b70
14384c72dc40
151ded59c4a3
hex114cf18600

74305340928 has 480 divisors, whose sum is σ = 273755978496. Its totient is φ = 19594027008.

The previous prime is 74305340899. The next prime is 74305340951. The reversal of 74305340928 is 82904350347.

It is a congruent number.

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, 11318575 + ... + 11325137.

Almost surely, 274305340928 is an apocalyptic number.

74305340928 is a gapful number since it is divisible by the number (78) 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 74305340928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136877989248).

74305340928 is an abundant number, since it is smaller than the sum of its proper divisors (199450637568).

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

74305340928 is an equidigital number, since it uses as much as digits as its factorization.

74305340928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6616 (or 6588 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 74305340928 in words is "seventy-four billion, three hundred five million, three hundred forty thousand, nine hundred twenty-eight".