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74806930080 = 2533579721727
BaseRepresentation
bin100010110101011010…
…1110010101010100000
321011002102102210022000
41011222311302222200
52211201033230310
654211004044000
75255533262031
oct1055265625240
9234072383260
1074806930080
11297a861a863
12125b8833600
1370922a738c
1438991baa88
151e2c62b4c0
hex116ad72aa0

74806930080 has 192 divisors, whose sum is σ = 262164833280. Its totient is φ = 19922568192.

The previous prime is 74806930069. The next prime is 74806930109. The reversal of 74806930080 is 8003960847.

It is a happy number.

74806930080 is a `hidden beast` number, since 7 + 480 + 6 + 93 + 0 + 0 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3432177 + ... + 3453903.

It is an arithmetic number, because the mean of its divisors is an integer number (1365441840).

Almost surely, 274806930080 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 74806930080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131082416640).

74806930080 is an abundant number, since it is smaller than the sum of its proper divisors (187357903200).

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

74806930080 is a wasteful number, since it uses less digits than its factorization.

74806930080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22548 (or 22534 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 74806930080 in words is "seventy-four billion, eight hundred six million, nine hundred thirty thousand, eighty".