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538542719064 = 233472591032791
BaseRepresentation
bin1111101011000111010…
…01011100000001011000
31220111001222010201010000
413311203221130001120
532310413414002224
61051223023253000
753623406403600
oct7654351340130
91814058121100
10538542719064
11198438363829
1288458a4a160
133ba2731740c
141c0cc04bc00
15e01e70d0c9
hex7d63a5c058

538542719064 has 480 divisors, whose sum is σ = 1802401286400. Its totient is φ = 149739166080.

The previous prime is 538542719053. The next prime is 538542719093. The reversal of 538542719064 is 460917245835.

It is a happy number.

538542719064 is a `hidden beast` number, since 5 + 3 + 8 + 542 + 7 + 1 + 90 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 538542719064.

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 119 ways as a sum of consecutive naturals, for example, 192955509 + ... + 192958299.

It is an arithmetic number, because the mean of its divisors is an integer number (3755002680).

It is a 1-persistent number, because it is pandigital, but 2⋅538542719064 = 1077085438128 is not.

Almost surely, 2538542719064 is an apocalyptic number.

538542719064 is a gapful number since it is divisible by the number (54) 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 538542719064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (901200643200).

538542719064 is an abundant number, since it is smaller than the sum of its proper divisors (1263858567336).

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

538542719064 is a wasteful number, since it uses less digits than its factorization.

538542719064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2985 (or 2965 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 538542719064 in words is "five hundred thirty-eight billion, five hundred forty-two million, seven hundred nineteen thousand, sixty-four".