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145413603677 is a prime number
BaseRepresentation
bin1000011101101101010…
…0111000000101011101
3111220100010100102220002
42013123110320011131
54340301340304202
6150445130104045
713335325144256
oct2073324700535
9456303312802
10145413603677
1156740208771
122422287b025
1310935316094
1470765d5b2d
153bb1127302
hex21db53815d

145413603677 has 2 divisors, whose sum is σ = 145413603678. Its totient is φ = 145413603676.

The previous prime is 145413603661. The next prime is 145413603703. The reversal of 145413603677 is 776306314541.

145413603677 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 119100221881 + 26313381796 = 345109^2 + 162214^2 .

It is a cyclic number.

It is not a de Polignac number, because 145413603677 - 24 = 145413603661 is a prime.

It is a super-2 number, since 2×1454136036772 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (145413603607) 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, 72706801838 + 72706801839.

It is an arithmetic number, because the mean of its divisors is an integer number (72706801839).

Almost surely, 2145413603677 is an apocalyptic number.

It is an amenable number.

145413603677 is a deficient number, since it is larger than the sum of its proper divisors (1).

145413603677 is an equidigital number, since it uses as much as digits as its factorization.

145413603677 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1270080, while the sum is 47.

The spelling of 145413603677 in words is "one hundred forty-five billion, four hundred thirteen million, six hundred three thousand, six hundred seventy-seven".