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85404491104 = 25193147229421
BaseRepresentation
bin100111110001010000…
…0010001110101100000
322011102222121200001011
41033202200101311200
52344402022203404
6103122334350304
76112255124302
oct1174240216540
9264388550034
1085404491104
1133246677259
121467595b394
138090a1824a
1441c284d972
15234cbc4604
hex13e2811d60

85404491104 has 192 divisors, whose sum is σ = 187846041600. Its totient is φ = 38058854400.

The previous prime is 85404491063. The next prime is 85404491143. The reversal of 85404491104 is 40119440458.

It is a happy number.

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, 202860814 + ... + 202861234.

It is an arithmetic number, because the mean of its divisors is an integer number (978364800).

Almost surely, 285404491104 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 85404491104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93923020800).

85404491104 is an abundant number, since it is smaller than the sum of its proper divisors (102441550496).

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

85404491104 is a wasteful number, since it uses less digits than its factorization.

85404491104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 757 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 40.

The spelling of 85404491104 in words is "eighty-five billion, four hundred four million, four hundred ninety-one thousand, one hundred four".