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6002426500225 = 52157231212
BaseRepresentation
bin101011101011000110001…
…1111111101010010000001
3210020211022102102112102221
41113112030133331102001
51241320432141001400
620433250543211041
71156442503265641
oct127261437752201
923224272375387
106002426500225
111a04684304a41
1280b3885a6a81
13347045c9674c
1416a73a18a521
15a620bee5c1a
hex5758c7fd481

6002426500225 has 27 divisors (see below), whose sum is σ = 7493119390971. Its totient is φ = 4769826796800.

The previous prime is 6002426500211. The next prime is 6002426500241. The reversal of 6002426500225 is 5220056242006.

The square root of 6002426500225 is 2449985.

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

It can be written as a sum of positive squares in 13 ways, for example, as 5372600144769 + 629826355456 = 2317887^2 + 793616^2 .

It is not a de Polignac number, because 6002426500225 - 27 = 6002426500097 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1923236665 + ... + 1923239785.

Almost surely, 26002426500225 is an apocalyptic number.

6002426500225 is the 2449985-th square number.

6002426500225 is the 1224993-rd centered octagonal number.

It is an amenable number.

6002426500225 is a deficient number, since it is larger than the sum of its proper divisors (1490692890746).

6002426500225 is an frugal number, since it uses more digits than its factorization.

6002426500225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6566 (or 3283 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 34.

The spelling of 6002426500225 in words is "six trillion, two billion, four hundred twenty-six million, five hundred thousand, two hundred twenty-five".

Divisors: 1 5 25 157 785 3121 3925 15605 24649 78025 123245 489997 616225 2449985 9740641 12249925 48703205 76929529 243516025 384647645 1529280637 1923238225 7646403185 38232015925 240097060009 1200485300045 6002426500225