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4666452336 = 2433713223397
BaseRepresentation
bin1000101100010010…
…00110100101110000
3110001012202100012000
410112021012211300
534024102433321
62051014134000
7223432122210
oct42611064560
913035670160
104666452336
111a850aa787
12aa2951300
13594a16100
14323a78240
151c4a1c826
hex116246970

4666452336 has 480 divisors, whose sum is σ = 17340318720. Its totient is φ = 1174238208.

The previous prime is 4666452317. The next prime is 4666452397. The reversal of 4666452336 is 6332546664.

It is a junction number, because it is equal to n+sod(n) for n = 4666452291 and 4666452300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11754090 + ... + 11754486.

It is an arithmetic number, because the mean of its divisors is an integer number (36125664).

Almost surely, 24666452336 is an apocalyptic number.

4666452336 is a gapful number since it is divisible by the number (46) 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 4666452336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8670159360).

4666452336 is an abundant number, since it is smaller than the sum of its proper divisors (12673866384).

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

4666452336 is a wasteful number, since it uses less digits than its factorization.

4666452336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 445 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 45.

The square root of 4666452336 is about 68311.4363485354. The cubic root of 4666452336 is about 1671.0737278468.

The spelling of 4666452336 in words is "four billion, six hundred sixty-six million, four hundred fifty-two thousand, three hundred thirty-six".