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7522266361 = 43220172
BaseRepresentation
bin1110000000101110…
…01010110011111001
3201102020110201112211
413000113022303321
5110401200010421
63242232135121
7354260131501
oct70027126371
921366421484
107522266361
11321013a065
12155b2374a1
1392b585bac
1451506aa01
152e05ce9e1
hex1c05cacf9

7522266361 has 9 divisors (see below), whose sum is σ = 7705091151. Its totient is φ = 7343687232.

The previous prime is 7522266359. The next prime is 7522266371. The reversal of 7522266361 is 1636622257.

The square root of 7522266361 is 86731.

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., 6362455225 + 1159811136 = 79765^2 + 34056^2 .

It is not a de Polignac number, because 7522266361 - 21 = 7522266359 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7522266331) 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 8 ways as a sum of consecutive naturals, for example, 3728425 + ... + 3730441.

It is an arithmetic number, because the mean of its divisors is an integer number (856121239).

Almost surely, 27522266361 is an apocalyptic number.

7522266361 is the 86731-st square number.

7522266361 is the 43366-th centered octagonal number.

It is an amenable number.

7522266361 is a deficient number, since it is larger than the sum of its proper divisors (182824790).

7522266361 is an frugal number, since it uses more digits than its factorization.

7522266361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4120 (or 2060 counting only the distinct ones).

The product of its digits is 181440, while the sum is 40.

The cubic root of 7522266361 is about 1959.3690146617.

The spelling of 7522266361 in words is "seven billion, five hundred twenty-two million, two hundred sixty-six thousand, three hundred sixty-one".

Divisors: 1 43 1849 2017 86731 3729433 4068289 174936427 7522266361