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4666761216 = 2133413541
BaseRepresentation
bin1000101100010100…
…10010000000000000
3110001020100000220000
410112022102000000
534024142324331
62051024520000
7223434546555
oct42612220000
913036300800
104666761216
111a852a0857
12aa2a80000
13594ac3890
14323b18a2c
151c4a7e0e6
hex116292000

4666761216 has 280 divisors, whose sum is σ = 15042018684. Its totient is φ = 1433272320.

The previous prime is 4666761199. The next prime is 4666761227. The reversal of 4666761216 is 6121676664.

It can be written as a sum of positive squares in 2 ways, for example, as 4387737600 + 279023616 = 66240^2 + 16704^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8625906 + ... + 8626446.

Almost surely, 24666761216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4666761216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7521009342).

4666761216 is an abundant number, since it is smaller than the sum of its proper divisors (10375257468).

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

4666761216 is an equidigital number, since it uses as much as digits as its factorization.

4666761216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592 (or 559 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 4666761216 is about 68313.6971331519. The cubic root of 4666761216 is about 1671.1105973876.

The spelling of 4666761216 in words is "four billion, six hundred sixty-six million, seven hundred sixty-one thousand, two hundred sixteen".