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12193400529025 = 52532131772
BaseRepresentation
bin1011000101101111111101…
…0011101010000010000001
31121011200022001021221000221
42301123333103222002001
53044234041013412100
641533323150343041
72365641555254242
oct261337723520201
947150261257027
1012193400529025
113981212798861
12144b1b51baa81
136a5aa96a1141
14302241404cc9
151622a1ce601a
hexb16ff4ea081

12193400529025 has 27 divisors (see below), whose sum is σ = 15411648435771. Its totient is φ = 9569942778240.

The previous prime is 12193400529017. The next prime is 12193400529053. The reversal of 12193400529025 is 52092500439121.

The square root of 12193400529025 is 3491905.

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

12193400529025 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 13 ways, for example, as 3343108725889 + 8850291803136 = 1828417^2 + 2974944^2 .

It is not a de Polignac number, because 12193400529025 - 23 = 12193400529017 is a prime.

It is a super-2 number, since 2×121934005290252 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 925348237 + ... + 925361413.

Almost surely, 212193400529025 is an apocalyptic number.

12193400529025 is the 3491905-th square number.

12193400529025 is the 1745953-rd centered octagonal number.

It is an amenable number.

12193400529025 is a deficient number, since it is larger than the sum of its proper divisors (3218247906746).

12193400529025 is an frugal number, since it uses more digits than its factorization.

12193400529025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26470 (or 13235 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 43.

The spelling of 12193400529025 in words is "twelve trillion, one hundred ninety-three billion, four hundred million, five hundred twenty-nine thousand, twenty-five".

Divisors: 1 5 25 53 265 1325 2809 13177 14045 65885 70225 329425 698381 3491905 17459525 37014193 173633329 185070965 868166645 925354825 4340833225 9202566437 46012832185 230064160925 487736021161 2438680105805 12193400529025