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85661288220 = 22351917474807
BaseRepresentation
bin100111111000111001…
…1111000011100011100
322012002212211022110110
41033301303320130130
52400413242210340
6103204030410020
76121523636034
oct1176163703434
9265085738413
1085661288220
1133368622782
1214727960910
138101c9a6c1
1442089b88c4
1523654ec680
hex13f1cf871c

85661288220 has 48 divisors (see below), whose sum is σ = 241107406848. Its totient is φ = 22723410240.

The previous prime is 85661288201. The next prime is 85661288231. The reversal of 85661288220 is 2288216658.

It is a happy number.

It is a super-3 number, since 3×856612882203 (a number of 34 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 85661288220.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3725944 + ... + 3748863.

It is an arithmetic number, because the mean of its divisors is an integer number (5023070976).

Almost surely, 285661288220 is an apocalyptic number.

It is an amenable number.

85661288220 is an abundant number, since it is smaller than the sum of its proper divisors (155446118628).

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

85661288220 is a wasteful number, since it uses less digits than its factorization.

85661288220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7475010 (or 7475008 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 48.

The spelling of 85661288220 in words is "eighty-five billion, six hundred sixty-one million, two hundred eighty-eight thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 191 382 573 764 955 1146 1910 2292 2865 3820 5730 11460 7474807 14949614 22424421 29899228 37374035 44848842 74748070 89697684 112122105 149496140 224244210 448488420 1427688137 2855376274 4283064411 5710752548 7138440685 8566128822 14276881370 17132257644 21415322055 28553762740 42830644110 85661288220