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4669572960 = 2532513435801
BaseRepresentation
bin1000101100101010…
…00000011101100000
3110001102121212212200
410112111000131200
534030402313320
62051205053200
7223500500223
oct42625003540
913042555780
104669572960
111a86941308
12aa39b7200
13595569630
1432424b5ba
151c4e37290
hex116540760

4669572960 has 288 divisors, whose sum is σ = 17562793248. Its totient is φ = 1122508800.

The previous prime is 4669572911. The next prime is 4669572961. The reversal of 4669572960 is 692759664.

4669572960 is a `hidden beast` number, since 4 + 6 + 6 + 9 + 572 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 4669572897 and 4669572906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4669572961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 802060 + ... + 807860.

It is an arithmetic number, because the mean of its divisors is an integer number (60981921).

Almost surely, 24669572960 is an apocalyptic number.

4669572960 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 4669572960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8781396624).

4669572960 is an abundant number, since it is smaller than the sum of its proper divisors (12893220288).

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

4669572960 is a wasteful number, since it uses less digits than its factorization.

4669572960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5878 (or 5867 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The square root of 4669572960 is about 68334.2736845867. The cubic root of 4669572960 is about 1671.4461471493.

The spelling of 4669572960 in words is "four billion, six hundred sixty-nine million, five hundred seventy-two thousand, nine hundred sixty".