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40505517961 is a prime number
BaseRepresentation
bin100101101110010100…
…010010011110001001
310212112220021111202221
4211232110102132021
51130423403033321
630335153454041
72632523136046
oct455624223611
9125486244687
1040505517961
11161a6344187
127a25271321
133a86a1a10c
141d6379c1cd
1510c108ee41
hex96e512789

40505517961 has 2 divisors, whose sum is σ = 40505517962. Its totient is φ = 40505517960.

The previous prime is 40505517911. The next prime is 40505517979. The reversal of 40505517961 is 16971550504.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 28244163600 + 12261354361 = 168060^2 + 110731^2 .

It is a cyclic number.

It is not a de Polignac number, because 40505517961 - 213 = 40505509769 is a prime.

It is not a weakly prime, because it can be changed into another prime (40505517911) 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, 20252758980 + 20252758981.

It is an arithmetic number, because the mean of its divisors is an integer number (20252758981).

Almost surely, 240505517961 is an apocalyptic number.

It is an amenable number.

40505517961 is a deficient number, since it is larger than the sum of its proper divisors (1).

40505517961 is an equidigital number, since it uses as much as digits as its factorization.

40505517961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 189000, while the sum is 43.

The spelling of 40505517961 in words is "forty billion, five hundred five million, five hundred seventeen thousand, nine hundred sixty-one".