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45034337205 = 33511213316841
BaseRepresentation
bin101001111100010000…
…010111001110110101
311022020112001100212000
4221330100113032311
51214212242242310
632404414045513
73152664356514
oct517420271665
9138215040760
1045034337205
111810a789100
128889aa9899
134329074310
14227304a67b
1512889724c0
hexa7c4173b5

45034337205 has 192 divisors, whose sum is σ = 97841694720. Its totient is φ = 19502208000.

The previous prime is 45034337177. The next prime is 45034337219. The reversal of 45034337205 is 50273343054.

It is not a de Polignac number, because 45034337205 - 210 = 45034336181 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 45034337205.

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 6579585 + ... + 6586425.

It is an arithmetic number, because the mean of its divisors is an integer number (509592160).

Almost surely, 245034337205 is an apocalyptic number.

45034337205 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

45034337205 is an abundant number, since it is smaller than the sum of its proper divisors (52807357515).

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

45034337205 is a wasteful number, since it uses less digits than its factorization.

45034337205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6921 (or 6904 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 36.

The spelling of 45034337205 in words is "forty-five billion, thirty-four million, three hundred thirty-seven thousand, two hundred five".