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85221592960 = 27571710091109
BaseRepresentation
bin100111101011110011…
…0100100111110000000
322010222020110110221211
41033113212210332000
52344013211433320
6103052242255504
76104604405460
oct1172746447600
9263866413854
1085221592960
1133162405169
1214624657594
138061b6b1aa
1441a643dba0
15233bae755a
hex13d79a4f80

85221592960 has 256 divisors, whose sum is σ = 247000752000. Its totient is φ = 27448049664.

The previous prime is 85221592921. The next prime is 85221593087. The reversal of 85221592960 is 6929512258.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76844886 + ... + 76845994.

Almost surely, 285221592960 is an apocalyptic number.

85221592960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85221592960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123500376000).

85221592960 is an abundant number, since it is smaller than the sum of its proper divisors (161779159040).

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

85221592960 is a wasteful number, since it uses less digits than its factorization.

85221592960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2161 (or 2149 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 49.

The spelling of 85221592960 in words is "eighty-five billion, two hundred twenty-one million, five hundred ninety-two thousand, nine hundred sixty".