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4381709472 = 2533717192243
BaseRepresentation
bin1000001010010101…
…11001010010100000
3102022100221220102000
410011022321102200
532433204200342
62002443124000
7213403626120
oct40512712240
912270856360
104381709472
1119493a71a8
12a23513600
1354aa2a9ca
142d7d16c80
151a9a2444c
hex1052b94a0

4381709472 has 384 divisors, whose sum is σ = 16286054400. Its totient is φ = 1115762688.

The previous prime is 4381709429. The next prime is 4381709509. The reversal of 4381709472 is 2749071834.

4381709472 is a `hidden beast` number, since 4 + 3 + 8 + 170 + 9 + 472 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1952383 + ... + 1954625.

It is an arithmetic number, because the mean of its divisors is an integer number (42411600).

Almost surely, 24381709472 is an apocalyptic number.

4381709472 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 4381709472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8143027200).

4381709472 is an abundant number, since it is smaller than the sum of its proper divisors (11904344928).

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

4381709472 is a wasteful number, since it uses less digits than its factorization.

4381709472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2305 (or 2291 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 4381709472 is about 66194.4821869618. The cubic root of 4381709472 is about 1636.3688091150.

The spelling of 4381709472 in words is "four billion, three hundred eighty-one million, seven hundred nine thousand, four hundred seventy-two".