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4429494960 = 24351137137331
BaseRepresentation
bin1000010000000010…
…01011101010110000
3102102200212122202220
410020001023222300
533032422314320
62011311241040
7214524041322
oct41001135260
912380778686
104429494960
111973375140
12a37519180
135578bc147
143003d5612
151add12e40
hex10804bab0

4429494960 has 320 divisors, whose sum is σ = 15543719424. Its totient is φ = 1034035200.

The previous prime is 4429494917. The next prime is 4429494977. The reversal of 4429494960 is 694949244.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 13381995 + ... + 13382325.

Almost surely, 24429494960 is an apocalyptic number.

4429494960 is a gapful number since it is divisible by the number (40) 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 4429494960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7771859712).

4429494960 is an abundant number, since it is smaller than the sum of its proper divisors (11114224464).

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

4429494960 is a wasteful number, since it uses less digits than its factorization.

4429494960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 51.

The square root of 4429494960 is about 66554.4510908174. The cubic root of 4429494960 is about 1642.2958821893.

The spelling of 4429494960 in words is "four billion, four hundred twenty-nine million, four hundred ninety-four thousand, nine hundred sixty".