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74116328000 = 265311131737103
BaseRepresentation
bin100010100000110101…
…1010110101001000000
321002022021221120100012
41011001223112221000
52203242234444000
654014254044052
75232446251631
oct1050153265100
9232267846305
1074116328000
112948380a240
12124454a9628
136cb21a87b0
1438315ab888
151ddbbb3735
hex1141ad6a40

74116328000 has 896 divisors, whose sum is σ = 236770200576. Its totient is φ = 22560768000.

The previous prime is 74116327939. The next prime is 74116328029. The reversal of 74116328000 is 82361147.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 719575949 + ... + 719576051.

It is an arithmetic number, because the mean of its divisors is an integer number (264252456).

Almost surely, 274116328000 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 74116328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118385100288).

74116328000 is an abundant number, since it is smaller than the sum of its proper divisors (162653872576).

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

74116328000 is a wasteful number, since it uses less digits than its factorization.

74116328000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

Adding to 74116328000 its reverse (82361147), we get a palindrome (74198689147).

The spelling of 74116328000 in words is "seventy-four billion, one hundred sixteen million, three hundred twenty-eight thousand".