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80893278144 = 2632741489337
BaseRepresentation
bin100101101010110011…
…1010111011111000000
321201210120222022020200
41023111213113133000
52311132134400034
6101054543405200
75562416343030
oct1132547273700
9251716868220
1080893278144
1131341168188
1213816bb3800
137822216a73
143cb56658c0
152186b1da99
hex12d59d77c0

80893278144 has 168 divisors, whose sum is σ = 271453404768. Its totient is φ = 22548602880.

The previous prime is 80893278131. The next prime is 80893278157. The reversal of 80893278144 is 44187239808.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (80893278131) and next prime (80893278157).

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79357 + ... + 409980.

It is an arithmetic number, because the mean of its divisors is an integer number (1615794076).

Almost surely, 280893278144 is an apocalyptic number.

80893278144 is a gapful number since it is divisible by the number (84) 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 80893278144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135726702384).

80893278144 is an abundant number, since it is smaller than the sum of its proper divisors (190560126624).

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

80893278144 is a wasteful number, since it uses less digits than its factorization.

80893278144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489403 (or 489390 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 80893278144 in words is "eighty billion, eight hundred ninety-three million, two hundred seventy-eight thousand, one hundred forty-four".