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45759346081 is a prime number
BaseRepresentation
bin101010100111011110…
…000011010110100001
311101010001021122001121
4222213132003112201
51222203343033311
633004353332241
73206650011151
oct524736032641
9141101248047
1045759346081
1118451a59a99
128a50867081
13441332b957
142301454761
1512cc434b71
hexaa77835a1

45759346081 has 2 divisors, whose sum is σ = 45759346082. Its totient is φ = 45759346080.

The previous prime is 45759346057. The next prime is 45759346111. The reversal of 45759346081 is 18064395754.

45759346081 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., 41714386081 + 4044960000 = 204241^2 + 63600^2 .

It is a cyclic number.

It is not a de Polignac number, because 45759346081 - 25 = 45759346049 is a prime.

It is a super-2 number, since 2×457593460812 (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (45759346021) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 22879673040 + 22879673041.

It is an arithmetic number, because the mean of its divisors is an integer number (22879673041).

Almost surely, 245759346081 is an apocalyptic number.

It is an amenable number.

45759346081 is a deficient number, since it is larger than the sum of its proper divisors (1).

45759346081 is an equidigital number, since it uses as much as digits as its factorization.

45759346081 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3628800, while the sum is 52.

The spelling of 45759346081 in words is "forty-five billion, seven hundred fifty-nine million, three hundred forty-six thousand, eighty-one".