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85456820144 = 2419281107961
BaseRepresentation
bin100111110010110011…
…1111001011110110000
322011120122002020222202
41033211213321132300
52400003421221034
6103131444122332
76113461662143
oct1174547713660
9264518066882
1085456820144
11332731688a3
121468b3963a8
13809b80a787
1441c979205a
1523525ae47e
hex13e59f97b0

85456820144 has 20 divisors (see below), whose sum is σ = 174286936440. Its totient is φ = 40479546240.

The previous prime is 85456820089. The next prime is 85456820159. The reversal of 85456820144 is 44102865458.

It is a hoax number, since the sum of its digits (47) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 140553677 + ... + 140554284.

It is an arithmetic number, because the mean of its divisors is an integer number (8714346822).

Almost surely, 285456820144 is an apocalyptic number.

It is an amenable number.

85456820144 is an abundant number, since it is smaller than the sum of its proper divisors (88830116296).

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

85456820144 is a wasteful number, since it uses less digits than its factorization.

85456820144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281107988 (or 281107982 counting only the distinct ones).

The product of its (nonzero) digits is 1228800, while the sum is 47.

The spelling of 85456820144 in words is "eighty-five billion, four hundred fifty-six million, eight hundred twenty thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 19 38 76 152 304 281107961 562215922 1124431844 2248863688 4497727376 5341051259 10682102518 21364205036 42728410072 85456820144