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5277014064 = 24327171013049
BaseRepresentation
bin1001110101000100…
…01101100000110000
3111121202122002102100
410322202031200300
541301403422224
62231344420400
7244524610440
oct47242154060
914552562370
105277014064
112268811853
121033317700
1366136c13a
14380bb0120
1520d424ac9
hex13a88d830

5277014064 has 240 divisors, whose sum is σ = 18053755200. Its totient is φ = 1404518400.

The previous prime is 5277014053. The next prime is 5277014069. The reversal of 5277014064 is 4604107725.

5277014064 is a `hidden beast` number, since 527 + 70 + 1 + 4 + 0 + 64 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (5277014069) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1729212 + ... + 1732260.

It is an arithmetic number, because the mean of its divisors is an integer number (75223980).

Almost surely, 25277014064 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 5277014064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9026877600).

5277014064 is an abundant number, since it is smaller than the sum of its proper divisors (12776741136).

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

5277014064 is a wasteful number, since it uses less digits than its factorization.

5277014064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3188 (or 3179 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 5277014064 is about 72643.0592968110. The cubic root of 5277014064 is about 1740.9892274290.

The spelling of 5277014064 in words is "five billion, two hundred seventy-seven million, fourteen thousand, sixty-four".