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85490270208 = 21733721729
BaseRepresentation
bin100111110011110011…
…1100000000000000000
322011122222000200212000
41033213213200000000
52400041002121313
6103135041104000
76114346210200
oct1174747400000
9264588020760
1085490270208
1133290035382
121469a628000
1380a571cc05
1441cddbc400
1523554ba673
hex13e79e0000

85490270208 has 864 divisors, whose sum is σ = 322750461600. Its totient is φ = 22196256768.

The previous prime is 85490270189. The next prime is 85490270209. The reversal of 85490270208 is 80207209458.

It is a tau number, because it is divible by the number of its divisors (864).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85490270209) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2947940338 + ... + 2947940366.

It is an arithmetic number, because the mean of its divisors is an integer number (373553775).

Almost surely, 285490270208 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 85490270208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161375230800).

85490270208 is an abundant number, since it is smaller than the sum of its proper divisors (237260191392).

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

85490270208 is an equidigital number, since it uses as much as digits as its factorization.

85490270208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 85490270208 in words is "eighty-five billion, four hundred ninety million, two hundred seventy thousand, two hundred eight".