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538046376192 = 28321322373823
BaseRepresentation
bin1111101010001100001…
…00000010100100000000
31220102210101011212200200
413311012010002210000
532303404333014232
61051101453045200
753605201511043
oct7650604024400
91812711155620
10538046376192
11198203175006
128833a786800
133b978542b00
141c082168c5a
15dee0d6877c
hex7d46102900

538046376192 has 648 divisors, whose sum is σ = 1779039190656. Its totient is φ = 155995766784.

The previous prime is 538046376173. The next prime is 538046376239. The reversal of 538046376192 is 291673640835.

538046376192 is a `hidden beast` number, since 5 + 3 + 80 + 4 + 6 + 376 + 192 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 653761893 + ... + 653762715.

It is a 2-persistent number, because it is pandigital, and so is 2⋅538046376192 = 1076092752384, but 3⋅538046376192 = 1614139128576 is not.

Almost surely, 2538046376192 is an apocalyptic number.

538046376192 is a gapful number since it is divisible by the number (52) 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 538046376192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (889519595328).

538046376192 is an abundant number, since it is smaller than the sum of its proper divisors (1240992814464).

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

538046376192 is a wasteful number, since it uses less digits than its factorization.

538046376192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 967 (or 937 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 538046376192 in words is "five hundred thirty-eight billion, forty-six million, three hundred seventy-six thousand, one hundred ninety-two".