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502974568849 = 271226172
BaseRepresentation
bin1110101000110111001…
…11101101100110010001
31210002021011101110121011
413110123213231212101
531220042442200344
61023021402330521
751224115202624
oct7243347554621
91702234343534
10502974568849
11184346039065
12815911b9a41
1338579499a9c
141a4b62c9dbb
15d13bd51d34
hex751b9ed991

502974568849 has 9 divisors (see below), whose sum is σ = 505030392891. Its totient is φ = 500927088240.

The previous prime is 502974568793. The next prime is 502974568897. The reversal of 502974568849 is 948865479205.

The square root of 502974568849 is 709207.

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., 490749286225 + 12225282624 = 700535^2 + 110568^2 .

It is not a de Polignac number, because 502974568849 - 219 = 502974044561 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (502974568249) 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, 192193789 + ... + 192196405.

It is an arithmetic number, because the mean of its divisors is an integer number (56114488099).

Almost surely, 2502974568849 is an apocalyptic number.

502974568849 is the 709207-th square number.

502974568849 is the 354604-th centered octagonal number.

It is an amenable number.

502974568849 is a deficient number, since it is larger than the sum of its proper divisors (2055824042).

502974568849 is an frugal number, since it uses more digits than its factorization.

502974568849 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5776 (or 2888 counting only the distinct ones).

The product of its (nonzero) digits is 174182400, while the sum is 67.

The spelling of 502974568849 in words is "five hundred two billion, nine hundred seventy-four million, five hundred sixty-eight thousand, eight hundred forty-nine".

Divisors: 1 271 2617 73441 709207 6848689 192195097 1855994719 502974568849