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5493135937536 = 212341323132
BaseRepresentation
bin100111111101111100001…
…1010101001000000000000
3201110010202002101100010000
41033323320122221000000
51204444420300000121
615403302315040000
71104603013032552
oct117737032510000
921403662340100
105493135937536
111828698038265
12748734140000
1330b001123300
1414dc251174d2
1597d5093d526
hex4fef86a9000

5493135937536 has 585 divisors, whose sum is σ = 17825913321579. Its totient is φ = 1684795686912.

The previous prime is 5493135937517. The next prime is 5493135937609. The reversal of 5493135937536 is 6357395313945.

The square root of 5493135937536 is 2343744.

It is a perfect power (a square), and thus also a powerful number.

5493135937536 is a `hidden beast` number, since 5 + 4 + 9 + 3 + 1 + 3 + 5 + 93 + 7 + 536 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4345323687936 + 1147812249600 = 2084544^2 + 1071360^2 .

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 44 ways as a sum of consecutive naturals, for example, 17549954916 + ... + 17549955228.

Almost surely, 25493135937536 is an apocalyptic number.

5493135937536 is the 2343744-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5493135937536

5493135937536 is an abundant number, since it is smaller than the sum of its proper divisors (12332777384043).

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

5493135937536 is an frugal number, since it uses more digits than its factorization.

5493135937536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688 (or 331 counting only the distinct ones).

The product of its digits is 137781000, while the sum is 63.

The spelling of 5493135937536 in words is "five trillion, four hundred ninety-three billion, one hundred thirty-five million, nine hundred thirty-seven thousand, five hundred thirty-six".