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80893403136 = 213337134019
BaseRepresentation
bin100101101010110011…
…1110110000000000000
321201210121012122201000
41023111213312000000
52311132202400021
6101054550212000
75562420403320
oct1132547660000
9251717178630
1080893403136
1131341243087
1213817054000
13782225b920
143cb5699280
152186b45b26
hex12d59f6000

80893403136 has 448 divisors, whose sum is σ = 295051276800. Its totient is φ = 21329215488.

The previous prime is 80893403113. The next prime is 80893403183. The reversal of 80893403136 is 63130439808.

It is a tau number, because it is divible by the number of its divisors (448).

It is a junction number, because it is equal to n+sod(n) for n = 80893403091 and 80893403100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20125735 + ... + 20129753.

It is an arithmetic number, because the mean of its divisors is an integer number (658596600).

Almost surely, 280893403136 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 80893403136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147525638400).

80893403136 is an abundant number, since it is smaller than the sum of its proper divisors (214157873664).

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

80893403136 is a wasteful number, since it uses less digits than its factorization.

80893403136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4074 (or 4044 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 80893403136 in words is "eighty billion, eight hundred ninety-three million, four hundred three thousand, one hundred thirty-six".