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80229199680 = 2633575932237
BaseRepresentation
bin100101010111000001…
…0000110111101000000
321200002022101121212000
41022232002012331000
52303302133342210
6100505022104000
75540103642150
oct1125602067500
9250068347760
1080229199680
1131030323203
121367071b000
137747773a26
143c5139c760
152148694ac0
hex12ae086f40

80229199680 has 448 divisors, whose sum is σ = 324154068480. Its totient is φ = 18298994688.

The previous prime is 80229199579. The next prime is 80229199681. The reversal of 80229199680 is 8699192208.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80229199681) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35863522 + ... + 35865758.

Almost surely, 280229199680 is an apocalyptic number.

80229199680 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 80229199680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162077034240).

80229199680 is an abundant number, since it is smaller than the sum of its proper divisors (243924868800).

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

80229199680 is a wasteful number, since it uses less digits than its factorization.

80229199680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2863 (or 2847 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The spelling of 80229199680 in words is "eighty billion, two hundred twenty-nine million, one hundred ninety-nine thousand, six hundred eighty".