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4666200064 = 2127271567
BaseRepresentation
bin1000101100010000…
…01001000000000000
3110001012021112010121
410112020021000000
534024021400224
62051004510024
7223430021551
oct42610110000
913035245117
104666200064
111a84a48199
12aa284b314
13594958336
14323a10328
151c49bcbe4
hex116209000

4666200064 has 52 divisors (see below), whose sum is σ = 9350059264. Its totient is φ = 2328403968.

The previous prime is 4666200061. The next prime is 4666200089. The reversal of 4666200064 is 4600026664.

It is not an unprimeable number, because it can be changed into a prime (4666200061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2977009 + ... + 2978575.

It is an arithmetic number, because the mean of its divisors is an integer number (179808832).

Almost surely, 24666200064 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 4666200064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4675029632).

4666200064 is an abundant number, since it is smaller than the sum of its proper divisors (4683859200).

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

4666200064 is an equidigital number, since it uses as much as digits as its factorization.

4666200064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2318 (or 2296 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 34.

The square root of 4666200064 is about 68309.5898392019. The cubic root of 4666200064 is about 1671.0436141274.

The spelling of 4666200064 in words is "four billion, six hundred sixty-six million, two hundred thousand, sixty-four".

Divisors: 1 2 4 8 16 32 64 128 256 512 727 1024 1454 1567 2048 2908 3134 4096 5816 6268 11632 12536 23264 25072 46528 50144 93056 100288 186112 200576 372224 401152 744448 802304 1139209 1488896 1604608 2278418 2977792 3209216 4556836 6418432 9113672 18227344 36454688 72909376 145818752 291637504 583275008 1166550016 2333100032 4666200064