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85443447936 = 27371131397
BaseRepresentation
bin100111110010011010…
…0111000110010000000
322011112200220212202210
41033210310320302000
52344442010313221
6103130245342120
76113240216130
oct1174464706200
9264480825683
1085443447936
1133266665090
1214686a07940
138098b08022
1441c7ab0ac0
15235131c276
hex13e4d38c80

85443447936 has 512 divisors, whose sum is σ = 295408189440. Its totient is φ = 21255782400.

The previous prime is 85443447923. The next prime is 85443447989. The reversal of 85443447936 is 63974434458.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 880860240 + ... + 880860336.

It is an arithmetic number, because the mean of its divisors is an integer number (576969120).

Almost surely, 285443447936 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 85443447936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147704094720).

85443447936 is an abundant number, since it is smaller than the sum of its proper divisors (209964741504).

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

85443447936 is an equidigital number, since it uses as much as digits as its factorization.

85443447936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 151 counting only the distinct ones).

The product of its digits is 34836480, while the sum is 57.

The spelling of 85443447936 in words is "eighty-five billion, four hundred forty-three million, four hundred forty-seven thousand, nine hundred thirty-six".