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81422806080 = 26357211532969
BaseRepresentation
bin100101111010100101…
…1010110110001000000
321210011111101010000110
41023311023112301000
52313223214243310
6101223301151320
75611506301200
oct1136513266100
9253144333013
1081422806080
1131593062380
12139443bb540
1378a7b39cc5
143d25b06400
1521b836ad20
hex12f52d6c40

81422806080 has 672 divisors, whose sum is σ = 334365356160. Its totient is φ = 16594206720.

The previous prime is 81422806057. The next prime is 81422806109. The reversal of 81422806080 is 8060822418.

It is a tau number, because it is divible by the number of its divisors (672).

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, 27422836 + ... + 27425804.

Almost surely, 281422806080 is an apocalyptic number.

81422806080 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 81422806080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167182678080).

81422806080 is an abundant number, since it is smaller than the sum of its proper divisors (252942550080).

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

81422806080 is a wasteful number, since it uses less digits than its factorization.

81422806080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3067 (or 3050 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 39.

The spelling of 81422806080 in words is "eighty-one billion, four hundred twenty-two million, eight hundred six thousand, eighty".