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46464166028081 is a prime number
BaseRepresentation
bin10101001000010010010000…
…00111000110001100110001
320002111221010121201220010002
422210021020013012030301
522042232103000344311
6242453202044115345
712533632230514124
oct1244111007061461
9202457117656102
1046464166028081
111389438444a49a
125265097235b55
131cc0723b35939
14b68c403323bb
1555898d91e93b
hex2a42481c6331

46464166028081 has 2 divisors, whose sum is σ = 46464166028082. Its totient is φ = 46464166028080.

The previous prime is 46464166028069. The next prime is 46464166028083. The reversal of 46464166028081 is 18082066146464.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 27730850788081 + 18733315240000 = 5266009^2 + 4328200^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-46464166028081 is a prime.

It is a super-2 number, since 2×464641660280812 (a number of 28 digits) contains 22 as substring.

Together with 46464166028083, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (46464166028083) 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, 23232083014040 + 23232083014041.

It is an arithmetic number, because the mean of its divisors is an integer number (23232083014041).

Almost surely, 246464166028081 is an apocalyptic number.

It is an amenable number.

46464166028081 is a deficient number, since it is larger than the sum of its proper divisors (1).

46464166028081 is an equidigital number, since it uses as much as digits as its factorization.

46464166028081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10616832, while the sum is 56.

The spelling of 46464166028081 in words is "forty-six trillion, four hundred sixty-four billion, one hundred sixty-six million, twenty-eight thousand, eighty-one".