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41585348549 is a prime number
BaseRepresentation
bin100110101110101011…
…100000111111000101
310222100011011120212102
4212232223200333011
51140131322123144
631034250201445
73001344426143
oct465653407705
9128304146772
1041585348549
11166aa932958
128086a23285
133bc9658524
142026d6a593
151135c8eb4e
hex9aeae0fc5

41585348549 has 2 divisors, whose sum is σ = 41585348550. Its totient is φ = 41585348548.

The previous prime is 41585348537. The next prime is 41585348561. The reversal of 41585348549 is 94584358514.

It is a balanced prime because it is at equal distance from previous prime (41585348537) and next prime (41585348561).

It can be written as a sum of positive squares in only one way, i.e., 32482852900 + 9102495649 = 180230^2 + 95407^2 .

It is a cyclic number.

It is not a de Polignac number, because 41585348549 - 24 = 41585348533 is a prime.

It is a super-3 number, since 3×415853485493 (a number of 33 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 41585348494 and 41585348503.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (41585348569) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20792674274 + 20792674275.

It is an arithmetic number, because the mean of its divisors is an integer number (20792674275).

Almost surely, 241585348549 is an apocalyptic number.

It is an amenable number.

41585348549 is a deficient number, since it is larger than the sum of its proper divisors (1).

41585348549 is an equidigital number, since it uses as much as digits as its factorization.

41585348549 is an evil number, because the sum of its binary digits is even.

The product of its digits is 13824000, while the sum is 56.

The spelling of 41585348549 in words is "forty-one billion, five hundred eighty-five million, three hundred forty-eight thousand, five hundred forty-nine".