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245568143136996 = 223229211327972
BaseRepresentation
bin110111110101011111001001…
…111100001001100011100100
31012012111002022010012221020100
4313311133021330021203210
5224141342024120340441
62230140240401304100
7102503466340205061
oct6765371174114344
91165432263187210
10245568143136996
1171277956941819
1223660902335030
13a703c905a3ab4
14448d7c0c45c68
151d5cbce6d4cb6
hexdf57c9f098e4

245568143136996 has 243 divisors, whose sum is σ = 649439126304241. Its totient is φ = 78235728442368.

The previous prime is 245568143136983. The next prime is 245568143136997. The reversal of 245568143136996 is 699631341865542.

It is a happy number.

The square root of 245568143136996 is 15670614.

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

245568143136996 is a `hidden beast` number, since 2 + 4 + 5 + 56 + 81 + 431 + 3 + 69 + 9 + 6 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 240619475943396 + 4948667193600 = 15511914^2 + 2224560^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (245568143136997) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 308115612070 + ... + 308115612866.

Almost surely, 2245568143136996 is an apocalyptic number.

245568143136996 is the 15670614-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 245568143136996

245568143136996 is an abundant number, since it is smaller than the sum of its proper divisors (403870983167245).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

245568143136996 is an equidigital number, since it uses as much as digits as its factorization.

245568143136996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1888 (or 944 counting only the distinct ones).

The product of its digits is 1007769600, while the sum is 72.

The spelling of 245568143136996 in words is "two hundred forty-five trillion, five hundred sixty-eight billion, one hundred forty-three million, one hundred thirty-six thousand, nine hundred ninety-six".