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537041384064 = 273529595379
BaseRepresentation
bin1111101000010100010…
…10010011001010000000
31220100012100002222200000
413310022022103022000
532244330043242224
61050414032400000
753541246305613
oct7641212231200
91810170088600
10537041384064
111978379515a9
12880ba0a6000
133b848278603
141bdc88bc17a
15de829ed0c9
hex7d0a293280

537041384064 has 192 divisors, whose sum is σ = 1657895148000. Its totient is φ = 172840614912.

The previous prime is 537041384017. The next prime is 537041384081. The reversal of 537041384064 is 460483140735.

537041384064 is a `hidden beast` number, since 537 + 0 + 4 + 13 + 8 + 40 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 604327 + ... + 1199705.

Almost surely, 2537041384064 is an apocalyptic number.

537041384064 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 537041384064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (828947574000).

537041384064 is an abundant number, since it is smaller than the sum of its proper divisors (1120853763936).

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

537041384064 is an equidigital number, since it uses as much as digits as its factorization.

537041384064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595437 (or 595413 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 537041384064 in words is "five hundred thirty-seven billion, forty-one million, three hundred eighty-four thousand, sixty-four".