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2670397198225 = 52317210312
BaseRepresentation
bin100110110111000000000…
…100111000111110010001
3100110021202120110002212021
4212313000010320332101
5322222433140320400
65402432531331441
7363633634445041
oct46670004707621
910407676402767
102670397198225
1193a566668349
1237165a750b81
13164a81a09453
14933683c1721
15496e326971a
hex26dc0138f91

2670397198225 has 27 divisors (see below), whose sum is σ = 3324996212881. Its totient is φ = 2127513039200.

The previous prime is 2670397198171. The next prime is 2670397198229. The reversal of 2670397198225 is 5228917930762.

The square root of 2670397198225 is 1634135.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1077894539089 + 1592502659136 = 1038217^2 + 1261944^2 .

It is not a de Polignac number, because 2670397198225 - 27 = 2670397198097 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2670397198229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2590103460 + ... + 2590104490.

Almost surely, 22670397198225 is an apocalyptic number.

2670397198225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2670397198225 is the 1634135-th square number.

2670397198225 is the 817068-th centered octagonal number.

It is an amenable number.

2670397198225 is a deficient number, since it is larger than the sum of its proper divisors (654599014656).

2670397198225 is an frugal number, since it uses more digits than its factorization.

2670397198225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2706 (or 1353 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 61.

The spelling of 2670397198225 in words is "two trillion, six hundred seventy billion, three hundred ninety-seven million, one hundred ninety-eight thousand, two hundred twenty-five".

Divisors: 1 5 25 317 1031 1585 5155 7925 25775 100489 326827 502445 1062961 1634135 2512225 5314805 8170675 26574025 103604159 336958637 518020795 1684793185 2590103975 8423965925 106815887929 534079439645 2670397198225