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73240055640 = 233252931972333
BaseRepresentation
bin100010000110101110…
…0101000111101011000
321000001020002022122100
41010031130220331120
52144443423240030
653351312323400
75201646126003
oct1041534507530
9230036068570
1073240055640
1129074113904
121223bb43560
136ba279c13b
14378b06a53a
151d89cc2360
hex110d728f58

73240055640 has 384 divisors, whose sum is σ = 256911782400. Its totient is φ = 18053038080.

The previous prime is 73240055633. The next prime is 73240055677. The reversal of 73240055640 is 4655004237.

73240055640 is a `hidden beast` number, since 7 + 3 + 2 + 4 + 0 + 0 + 5 + 5 + 640 = 666.

It is a Cunningham number, because it is equal to 2706292-1.

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

It is a junction number, because it is equal to n+sod(n) for n = 73240055595 and 73240055604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31391914 + ... + 31394246.

It is an arithmetic number, because the mean of its divisors is an integer number (669041100).

Almost surely, 273240055640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73240055640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128455891200).

73240055640 is an abundant number, since it is smaller than the sum of its proper divisors (183671726760).

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

73240055640 is a wasteful number, since it uses less digits than its factorization.

With its successor (73240055641) it forms an eRAP, since the sums of their prime factors are consecutive (2507 and 2508).

73240055640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2507 (or 2500 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

Adding to 73240055640 its reverse (4655004237), we get a palindrome (77895059877).

The spelling of 73240055640 in words is "seventy-three billion, two hundred forty million, fifty-five thousand, six hundred forty".