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4425974784 = 2103672112
BaseRepresentation
bin1000001111100111…
…10000010000000000
3102102110020211000000
410013303300100000
533031022143114
62011104000000
7214452110400
oct40763602000
912373224000
104425974784
111971390400
12a36300000
13556c58aba
142ddb5a800
151ad869e09
hex107cf0400

4425974784 has 693 divisors, whose sum is σ = 16961509551. Its totient is φ = 1149603840.

The previous prime is 4425974711. The next prime is 4425974789. The reversal of 4425974784 is 4874795244.

The square root of 4425974784 is 66528.

It is a perfect power (a square), and thus also a powerful number.

4425974784 is a `hidden beast` number, since 4 + 4 + 2 + 597 + 47 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (693).

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 4425974784.

It is not an unprimeable number, because it can be changed into a prime (4425974789) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 402361339 + ... + 402361349.

Almost surely, 24425974784 is an apocalyptic number.

4425974784 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

4425974784 is the 66528-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4425974784

4425974784 is an abundant number, since it is smaller than the sum of its proper divisors (12535534767).

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

4425974784 is an equidigital number, since it uses as much as digits as its factorization.

4425974784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 23 counting only the distinct ones).

The product of its digits is 9031680, while the sum is 54.

The cubic root of 4425974784 is about 1641.8607157475.

The spelling of 4425974784 in words is "four billion, four hundred twenty-five million, nine hundred seventy-four thousand, seven hundred eighty-four".