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4962130560 = 273251974373
BaseRepresentation
bin1001001111100010…
…00001101010000000
3110210211010100110100
410213301001222000
540130301134220
62140215402400
7233652261642
oct44761015200
913724110410
104962130560
112116aa2152
12b65983400
1361105ca3a
14351044892
151e0975d90
hex127c41a80

4962130560 has 192 divisors, whose sum is σ = 17225774280. Its totient is φ = 1316216832.

The previous prime is 4962130549. The next prime is 4962130601. The reversal of 4962130560 is 650312694.

It is a happy number.

4962130560 is a `hidden beast` number, since 4 + 9 + 62 + 1 + 30 + 560 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4907843136 + 54287424 = 70056^2 + 7368^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1132534 + ... + 1136906.

Almost surely, 24962130560 is an apocalyptic number.

4962130560 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 4962130560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8612887140).

4962130560 is an abundant number, since it is smaller than the sum of its proper divisors (12263643720).

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

4962130560 is a wasteful number, since it uses less digits than its factorization.

4962130560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4595 (or 4580 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 4962130560 is about 70442.3917822216. The cubic root of 4962130560 is about 1705.6479461850.

The spelling of 4962130560 in words is "four billion, nine hundred sixty-two million, one hundred thirty thousand, five hundred sixty".