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45135270840 = 233511237120939
BaseRepresentation
bin101010000010010001…
…011001001110111000
311022111112222022202210
4222002101121032320
51214414112131330
632422421255120
73155331320622
oct520221311670
9138445868683
1045135270840
1118161758030
1288b78644a0
134343c53a6a
142282601c12
15129275d8b0
hexa824593b8

45135270840 has 256 divisors, whose sum is σ = 156316262400. Its totient is φ = 10318246400.

The previous prime is 45135270781. The next prime is 45135270871. The reversal of 45135270840 is 4807253154.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2145091 + ... + 2166029.

It is an arithmetic number, because the mean of its divisors is an integer number (610610400).

Almost surely, 245135270840 is an apocalyptic number.

45135270840 is a gapful number since it is divisible by the number (40) 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 45135270840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78158131200).

45135270840 is an abundant number, since it is smaller than the sum of its proper divisors (111180991560).

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

45135270840 is a wasteful number, since it uses less digits than its factorization.

45135270840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21058 (or 21054 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 39.

The spelling of 45135270840 in words is "forty-five billion, one hundred thirty-five million, two hundred seventy thousand, eight hundred forty".