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83340204480 = 26335134715787
BaseRepresentation
bin100110110011101110…
…1101001100111000000
321222010010022001011000
41031213131221213000
52331140043020410
6102141433452000
76010151023041
oct1154735514700
9258103261130
1083340204480
1132387411155
121419a571000
137b22152a80
14406861c8c8
15227b863dc0
hex13677699c0

83340204480 has 448 divisors, whose sum is σ = 323378657280. Its totient is φ = 20076761088.

The previous prime is 83340204391. The next prime is 83340204481. The reversal of 83340204480 is 8440204338.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83340204481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5271147 + ... + 5286933.

It is an arithmetic number, because the mean of its divisors is an integer number (721827360).

Almost surely, 283340204480 is an apocalyptic number.

83340204480 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 83340204480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161689328640).

83340204480 is an abundant number, since it is smaller than the sum of its proper divisors (240038452800).

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

83340204480 is a wasteful number, since it uses less digits than its factorization.

83340204480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15873 (or 15857 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 83340204480 in words is "eighty-three billion, three hundred forty million, two hundred four thousand, four hundred eighty".