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75542290208 = 25721126312
BaseRepresentation
bin100011001011010101…
…0111101111100100000
321012222200010221202022
41012112222331330200
52214202311241313
654411553241012
75313002605100
oct1062652757440
9235880127668
1075542290208
112a045720800
1212782b63168
13717b747408
143928b1b200
151e71e85c08
hex1196abdf20

75542290208 has 162 divisors, whose sum is σ = 190464733179. Its totient is φ = 29385417600.

The previous prime is 75542290157. The next prime is 75542290267. The reversal of 75542290208 is 80209224557.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 37771145104 + 37771145104 = 194348^2 + 194348^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=194348.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 119718053 + ... + 119718683.

Almost surely, 275542290208 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 75542290208

75542290208 is an abundant number, since it is smaller than the sum of its proper divisors (114922442971).

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

75542290208 is an equidigital number, since it uses as much as digits as its factorization.

75542290208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1308 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 44.

The spelling of 75542290208 in words is "seventy-five billion, five hundred forty-two million, two hundred ninety thousand, two hundred eight".