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4474092672 = 2735720549
BaseRepresentation
bin1000010101010110…
…10011110010000000
3102112210210110100000
410022223103302000
533130331431142
62015543200000
7215605105650
oct41253236200
912483713300
104474092672
111996566055
12a4a446000
13563c0561a
143062c4360
151b2bc214c
hex10aad3c80

4474092672 has 192 divisors, whose sum is σ = 15259608000. Its totient is φ = 1278249984.

The previous prime is 4474092671. The next prime is 4474092709. The reversal of 4474092672 is 2762904744.

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

It is not an unprimeable number, because it can be changed into a prime (4474092671) 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 23 ways as a sum of consecutive naturals, for example, 207454 + ... + 228002.

It is an arithmetic number, because the mean of its divisors is an integer number (79477125).

Almost surely, 24474092672 is an apocalyptic number.

4474092672 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 4474092672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7629804000).

4474092672 is an abundant number, since it is smaller than the sum of its proper divisors (10785515328).

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

4474092672 is an equidigital number, since it uses as much as digits as its factorization.

4474092672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20585 (or 20561 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The square root of 4474092672 is about 66888.6587696300. The cubic root of 4474092672 is about 1647.7892243080.

The spelling of 4474092672 in words is "four billion, four hundred seventy-four million, ninety-two thousand, six hundred seventy-two".