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463152623045041 is a prime number
BaseRepresentation
bin110100101001111000001111…
…1100100101100100110110001
32020201212221212122002220210001
41221103300133210230212301
5441201243032444420131
64321013213330310001
7166361446521541066
oct15123603744544661
92221787778086701
10463152623045041
11124635a19388146
1243b420b8428301
1316b58149759937
1482529c6b48c6d
1538829e1438261
hex1a53c1f92c9b1

463152623045041 has 2 divisors, whose sum is σ = 463152623045042. Its totient is φ = 463152623045040.

The previous prime is 463152623044927. The next prime is 463152623045053. The reversal of 463152623045041 is 140540326251364.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 438017641334641 + 25134981710400 = 20928871^2 + 5013480^2 .

It is a cyclic number.

It is not a de Polignac number, because 463152623045041 - 245 = 427968250956209 is a prime.

It is a super-2 number, since 2×4631526230450412 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 463152623044982 and 463152623045000.

It is not a weakly prime, because it can be changed into another prime (463152623015041) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 231576311522520 + 231576311522521.

It is an arithmetic number, because the mean of its divisors is an integer number (231576311522521).

Almost surely, 2463152623045041 is an apocalyptic number.

It is an amenable number.

463152623045041 is a deficient number, since it is larger than the sum of its proper divisors (1).

463152623045041 is an equidigital number, since it uses as much as digits as its factorization.

463152623045041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2073600, while the sum is 46.

The spelling of 463152623045041 in words is "four hundred sixty-three trillion, one hundred fifty-two billion, six hundred twenty-three million, forty-five thousand, forty-one".