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80520263516160 = 214355133110037
BaseRepresentation
bin10010010011101110010101…
…101101000100000000000000
3101120002122212121110000100000
4102103232111231010000000
541023220444430004120
6443130255353200000
722650253123051416
oct2223562555040000
9346078777400300
1080520263516160
11237244a7661206
129045449400000
1335c104a150430
1415c52b70972b6
159497b44db990
hex493b95b44000

80520263516160 has 1440 divisors, whose sum is σ = 321821104131072. Its totient is φ = 19179094671360.

The previous prime is 80520263516159. The next prime is 80520263516201. The reversal of 80520263516160 is 6161536202508.

80520263516160 is a `hidden beast` number, since 8 + 0 + 5 + 2 + 0 + 2 + 635 + 1 + 6 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×805202635161602 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8022338662 + ... + 8022348698.

Almost surely, 280520263516160 is an apocalyptic number.

80520263516160 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 80520263516160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160910552065536).

80520263516160 is an abundant number, since it is smaller than the sum of its proper divisors (241300840614912).

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

80520263516160 is a wasteful number, since it uses less digits than its factorization.

80520263516160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10129 (or 10091 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

Adding to 80520263516160 its reverse (6161536202508), we get a palindrome (86681799718668).

The spelling of 80520263516160 in words is "eighty trillion, five hundred twenty billion, two hundred sixty-three million, five hundred sixteen thousand, one hundred sixty".