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4202266303249 = 722928492
BaseRepresentation
bin111101001001101010100…
…101110001101100010001
3112212201210011102112000221
4331021222211301230101
51022322220133200444
612534254450513041
7612414035135200
oct75115245615421
915781704375027
104202266303249
111380197858a63
1257a516595781
1324636c7c2241
141075683db237
157449d396a84
hex3d26a971b11

4202266303249 has 9 divisors (see below), whose sum is σ = 4888367290107. Its totient is φ = 3601930245984.

The previous prime is 4202266303241. The next prime is 4202266303267. The reversal of 4202266303249 is 9423036622024.

It is a happy number.

The square root of 4202266303249 is 2049943.

It is a perfect power (a square), and thus also a powerful number.

4202266303249 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 2102665303249 + 2099601000000 = 1450057^2 + 1449000^2 .

It is not a de Polignac number, because 4202266303249 - 23 = 4202266303241 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4202266303241) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 14203177 + ... + 14496025.

It is an arithmetic number, because the mean of its divisors is an integer number (543151921123).

Almost surely, 24202266303249 is an apocalyptic number.

4202266303249 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

4202266303249 is the 2049943-rd square number.

4202266303249 is the 1024972-nd centered octagonal number.

It is an amenable number.

4202266303249 is a deficient number, since it is larger than the sum of its proper divisors (686100986858).

4202266303249 is an frugal number, since it uses more digits than its factorization.

4202266303249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585712 (or 292856 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 43.

The spelling of 4202266303249 in words is "four trillion, two hundred two billion, two hundred sixty-six million, three hundred three thousand, two hundred forty-nine".

Divisors: 1 7 49 292849 2049943 14349601 85760536801 600323757607 4202266303249