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41257378973 is a prime number
BaseRepresentation
bin100110011011001000…
…011010010010011101
310221111022001000012002
4212123020122102131
51133443342111343
630541532452045
72660252635466
oct463310322235
9127438030162
1041257378973
1116551795518
127bb501a025
133b767169a5
141dd5595d6d
1511170a88b8
hex99b21a49d

41257378973 has 2 divisors, whose sum is σ = 41257378974. Its totient is φ = 41257378972.

The previous prime is 41257378969. The next prime is 41257379011. The reversal of 41257378973 is 37987375214.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 26333824729 + 14923554244 = 162277^2 + 122162^2 .

It is a cyclic number.

It is not a de Polignac number, because 41257378973 - 22 = 41257378969 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (41257378073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20628689486 + 20628689487.

It is an arithmetic number, because the mean of its divisors is an integer number (20628689487).

Almost surely, 241257378973 is an apocalyptic number.

It is an amenable number.

41257378973 is a deficient number, since it is larger than the sum of its proper divisors (1).

41257378973 is an equidigital number, since it uses as much as digits as its factorization.

41257378973 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 8890560, while the sum is 56.

The spelling of 41257378973 in words is "forty-one billion, two hundred fifty-seven million, three hundred seventy-eight thousand, nine hundred seventy-three".