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456154108009 is a prime number
BaseRepresentation
bin1101010001101001110…
…01110101000001101001
31121121102011102121201221
412220310321311001221
524433200422424014
6545315421342041
744645631641425
oct6506471650151
91547364377657
10456154108009
111664aa113926
12744a5107921
13340273837a2
1418113d79b85
15bceb6b7b24
hex6a34e75069

456154108009 has 2 divisors, whose sum is σ = 456154108010. Its totient is φ = 456154108008.

The previous prime is 456154107961. The next prime is 456154108051. The reversal of 456154108009 is 900801451654.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 413485008784 + 42669099225 = 643028^2 + 206565^2 .

It is a cyclic number.

It is not a de Polignac number, because 456154108009 - 223 = 456145719401 is a prime.

It is not a weakly prime, because it can be changed into another prime (456154108909) 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 as a sum of consecutive naturals, namely, 228077054004 + 228077054005.

It is an arithmetic number, because the mean of its divisors is an integer number (228077054005).

Almost surely, 2456154108009 is an apocalyptic number.

It is an amenable number.

456154108009 is a deficient number, since it is larger than the sum of its proper divisors (1).

456154108009 is an equidigital number, since it uses as much as digits as its factorization.

456154108009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 172800, while the sum is 43.

The spelling of 456154108009 in words is "four hundred fifty-six billion, one hundred fifty-four million, one hundred eight thousand, nine".