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4263271023361 = 72172173512
BaseRepresentation
bin111110000010011110110…
…000010100001100000001
3120002120020200120101200011
4332002132300110030001
51024322134340221421
613022304125424521
7620003554533100
oct76023660241401
916076220511604
104263271023361
1113a4052393119
1258a300a0b141
1324c04244cb6c
1410a4b44aa037
1575d6de0e4e1
hex3e09ec14301

4263271023361 has 27 divisors (see below), whose sum is σ = 5268503602947. Its totient is φ = 3439079246400.

The previous prime is 4263271023343. The next prime is 4263271023373. The reversal of 4263271023361 is 1633201723624.

The square root of 4263271023361 is 2064769.

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

It can be written as a sum of positive squares in only one way, i.e., 3319155641025 + 944115382336 = 1821855^2 + 971656^2 .

It is not a de Polignac number, because 4263271023361 - 29 = 4263271022849 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4263271023331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 245698836 + ... + 245716186.

Almost surely, 24263271023361 is an apocalyptic number.

4263271023361 is the 2064769-th square number.

4263271023361 is the 1032385-th centered octagonal number.

It is an amenable number.

4263271023361 is a deficient number, since it is larger than the sum of its proper divisors (1005232579586).

4263271023361 is an frugal number, since it uses more digits than its factorization.

4263271023361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34750 (or 17375 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 40.

Adding to 4263271023361 its reverse (1633201723624), we get a palindrome (5896472746985).

The spelling of 4263271023361 in words is "four trillion, two hundred sixty-three billion, two hundred seventy-one million, twenty-three thousand, three hundred sixty-one".

Divisors: 1 7 17 49 119 289 833 2023 14161 17351 121457 294967 850199 2064769 5014439 14453383 35101073 245707511 301057201 2107400407 5117972417 14751802849 35825806919 87005531089 250780648433 609038717623 4263271023361