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4266041472 = 2733711172341
BaseRepresentation
bin1111111001000110…
…1010000010000000
3102000022022100202000
43332101222002000
532214101311342
61543152024000
7210500516460
oct37621520200
912008270660
104266041472
11189a084110
129b0832000
1352ca8c7c4
142c6807ba0
1519e7c744c
hexfe46a080

4266041472 has 1024 divisors, whose sum is σ = 17766604800. Its totient is φ = 973209600.

The previous prime is 4266041467. The next prime is 4266041477. The reversal of 4266041472 is 2741406624.

4266041472 is a `hidden beast` number, since 4 + 2 + 6 + 604 + 1 + 47 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (4266041467) and next prime (4266041477).

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 (4266041477) 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 127 ways as a sum of consecutive naturals, for example, 104049772 + ... + 104049812.

It is an arithmetic number, because the mean of its divisors is an integer number (17350200).

Almost surely, 24266041472 is an apocalyptic number.

4266041472 is a gapful number since it is divisible by the number (42) 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 4266041472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8883302400).

4266041472 is an abundant number, since it is smaller than the sum of its proper divisors (13500563328).

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

4266041472 is a wasteful number, since it uses less digits than its factorization.

4266041472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 4266041472 is about 65314.9406491348. The cubic root of 4266041472 is about 1621.8413082780.

The spelling of 4266041472 in words is "four billion, two hundred sixty-six million, forty-one thousand, four hundred seventy-two".