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538210520064 = 21032737463487
BaseRepresentation
bin1111101010011111101…
…10001100110000000000
31220110012211001020202100
413311033312030300000
532304223343120224
61051130035150400
753612233636440
oct7651766146000
91813184036670
10538210520064
111982878977a8
1288385745400
133b9a3554769
141c099c96120
15e00048dac9
hex7d4fd8cc00

538210520064 has 528 divisors, whose sum is σ = 1831776913408. Its totient is φ = 148988657664.

The previous prime is 538210520033. The next prime is 538210520119. The reversal of 538210520064 is 460025012835.

538210520064 is a `hidden beast` number, since 5 + 382 + 10 + 5 + 200 + 64 = 666.

It is a super-2 number, since 2×5382105200642 (a number of 24 digits) contains 22 as substring.

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

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 47 ways as a sum of consecutive naturals, for example, 1105154829 + ... + 1105155315.

Almost surely, 2538210520064 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 538210520064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (915888456704).

538210520064 is an abundant number, since it is smaller than the sum of its proper divisors (1293566393344).

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

538210520064 is a wasteful number, since it uses less digits than its factorization.

538210520064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020 (or 999 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 538210520064 its reverse (460025012835), we get a palindrome (998235532899).

The spelling of 538210520064 in words is "five hundred thirty-eight billion, two hundred ten million, five hundred twenty thousand, sixty-four".