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74301344064 = 263519416133
BaseRepresentation
bin100010100110010110…
…1001000100101000000
321002210012002100200000
41011030231020211000
52204132121002224
654044503400000
75240154001233
oct1051455104500
9232705070600
1074301344064
1129569198582
1212497453000
13701161785c
14384bdad41a
151ded05d0c9
hex114cb48940

74301344064 has 336 divisors, whose sum is σ = 238192543680. Its totient is φ = 22887567360.

The previous prime is 74301344059. The next prime is 74301344099. The reversal of 74301344064 is 46044310347.

74301344064 is a `hidden beast` number, since 7 + 4 + 301 + 344 + 0 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 12111942 + ... + 12118074.

It is an arithmetic number, because the mean of its divisors is an integer number (708906380).

Almost surely, 274301344064 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 74301344064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119096271840).

74301344064 is an abundant number, since it is smaller than the sum of its proper divisors (163891199616).

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

74301344064 is a wasteful number, since it uses less digits than its factorization.

74301344064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6220 (or 6198 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The spelling of 74301344064 in words is "seventy-four billion, three hundred one million, three hundred forty-four thousand, sixty-four".