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4666003456 = 21210091129
BaseRepresentation
bin1000101100001110…
…11001000000000000
3110001011220112102211
410112013121000000
534023444102311
62051000351504
7223425242422
oct42607310000
913034815384
104666003456
111a84923504
12aa2775594
135948b99ba
1432399c812
151c497e821
hex1161d9000

4666003456 has 52 divisors (see below), whose sum is σ = 9348388300. Its totient is φ = 2328625152.

The previous prime is 4666003429. The next prime is 4666003493. The reversal of 4666003456 is 6543006664.

It can be written as a sum of positive squares in 2 ways, for example, as 851705856 + 3814297600 = 29184^2 + 61760^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4132300 + ... + 4133428.

Almost surely, 24666003456 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 4666003456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4674194150).

4666003456 is an abundant number, since it is smaller than the sum of its proper divisors (4682384844).

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

4666003456 is a wasteful number, since it uses less digits than its factorization.

4666003456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2162 (or 2140 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 40.

The square root of 4666003456 is about 68308.1507288845. The cubic root of 4666003456 is about 1671.0201442695.

The spelling of 4666003456 in words is "four billion, six hundred sixty-six million, three thousand, four hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 128 256 512 1009 1024 1129 2018 2048 2258 4036 4096 4516 8072 9032 16144 18064 32288 36128 64576 72256 129152 144512 258304 289024 516608 578048 1033216 1139161 1156096 2066432 2278322 2312192 4132864 4556644 4624384 9113288 18226576 36453152 72906304 145812608 291625216 583250432 1166500864 2333001728 4666003456