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85136110176 = 253131931311471
BaseRepresentation
bin100111101001010000…
…0011111001001100000
322010202021121111121210
41033102200133021200
52343324321011201
6103035550150120
76102515665515
oct1172240371140
9263667544553
1085136110176
1133119129737
12145bbab2340
13804a23b370
144198d4b30c
15233435e1d6
hex13d281f260

85136110176 has 192 divisors, whose sum is σ = 254171796480. Its totient is φ = 24735559680.

The previous prime is 85136110063. The next prime is 85136110237. The reversal of 85136110176 is 67101163158.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7416121 + ... + 7427591.

It is an arithmetic number, because the mean of its divisors is an integer number (1323811440).

Almost surely, 285136110176 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 85136110176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127085898240).

85136110176 is an abundant number, since it is smaller than the sum of its proper divisors (169035686304).

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

85136110176 is a wasteful number, since it uses less digits than its factorization.

85136110176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11829 (or 11821 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 39.

The spelling of 85136110176 in words is "eighty-five billion, one hundred thirty-six million, one hundred ten thousand, one hundred seventy-six".