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74007286848 = 263611144203
BaseRepresentation
bin100010011101100101…
…1011001010001000000
321002000200202201000000
41010323023121101000
52203031331134343
653555401000000
75226653362455
oct1047313312100
9232020681000
1074007286848
1129428202a90
1212414a83000
136c9571a9c1
143820d0582c
151dd2324ed3
hex113b2d9440

74007286848 has 196 divisors, whose sum is σ = 240205217328. Its totient is φ = 22426295040.

The previous prime is 74007286819. The next prime is 74007286883. The reversal of 74007286848 is 84868270047.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 74007286794 and 74007286803.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 441115 + ... + 585317.

Almost surely, 274007286848 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 74007286848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120102608664).

74007286848 is an abundant number, since it is smaller than the sum of its proper divisors (166197930480).

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

74007286848 is a wasteful number, since it uses less digits than its factorization.

74007286848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144244 (or 144219 counting only the distinct ones).

The product of its (nonzero) digits is 4816896, while the sum is 54.

The spelling of 74007286848 in words is "seventy-four billion, seven million, two hundred eighty-six thousand, eight hundred forty-eight".