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80410129920 = 2933510491109
BaseRepresentation
bin100101011100011010…
…0010011011000000000
321200112220211211111000
41022320310103120000
52304134443124140
6100535004052000
75544431553441
oct1127064233000
9250486754430
1080410129920
113111347082a
1213701234000
1377760b2143
143c6b4192c8
1521594d3a30
hex12b8d13600

80410129920 has 320 divisors, whose sum is σ = 286153560000. Its totient is φ = 21402943488.

The previous prime is 80410129909. The next prime is 80410129951. The reversal of 80410129920 is 2992101408.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 72506326 + ... + 72507434.

It is an arithmetic number, because the mean of its divisors is an integer number (894229875).

Almost surely, 280410129920 is an apocalyptic number.

80410129920 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 80410129920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143076780000).

80410129920 is an abundant number, since it is smaller than the sum of its proper divisors (205743430080).

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

80410129920 is a wasteful number, since it uses less digits than its factorization.

80410129920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2190 (or 2168 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 80410129920 in words is "eighty billion, four hundred ten million, one hundred twenty-nine thousand, nine hundred twenty".