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74116944000 = 273553111733
BaseRepresentation
bin100010100000110110…
…1101101000010000000
321002022100002212100000
41011001231231002000
52203242414202000
654014315200000
75232454425561
oct1050155550200
9232270085300
1074116944000
11294840a0030
1212445746000
136cb2362ca8
1438316cc168
151ddbc86000
hex1141b6d080

74116944000 has 768 divisors, whose sum is σ = 301298175360. Its totient is φ = 17957376000.

The previous prime is 74116943921. The next prime is 74116944061. The reversal of 74116944000 is 44961147.

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

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 95 ways as a sum of consecutive naturals, for example, 42767134 + ... + 42768866.

Almost surely, 274116944000 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 74116944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150649087680).

74116944000 is an abundant number, since it is smaller than the sum of its proper divisors (227181231360).

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

74116944000 is a wasteful number, since it uses less digits than its factorization.

74116944000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1788 (or 1754 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 74116944000 in words is "seventy-four billion, one hundred sixteen million, nine hundred forty-four thousand".