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136331404133633 is a prime number
BaseRepresentation
bin11110111111111000100000…
…111010100100010100000001
3122212201011011221220011000122
4132333320200322210110001
5120332123203424234013
61201541441001430025
740500422166654242
oct3677704072442401
9585634157804018
10136331404133633
113a491907532325
1213359b3349b315
135b0bcc49a3a77
142594691c04cc9
1510b645cc28a08
hex7bfe20ea4501

136331404133633 has 2 divisors, whose sum is σ = 136331404133634. Its totient is φ = 136331404133632.

The previous prime is 136331404133623. The next prime is 136331404133699. The reversal of 136331404133633 is 336331404133631.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 104530748544784 + 31800655588849 = 10224028^2 + 5639207^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-136331404133633 is a prime.

It is not a weakly prime, because it can be changed into another prime (136331404133623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68165702066816 + 68165702066817.

It is an arithmetic number, because the mean of its divisors is an integer number (68165702066817).

Almost surely, 2136331404133633 is an apocalyptic number.

It is an amenable number.

136331404133633 is a deficient number, since it is larger than the sum of its proper divisors (1).

136331404133633 is an equidigital number, since it uses as much as digits as its factorization.

136331404133633 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1259712, while the sum is 44.

The spelling of 136331404133633 in words is "one hundred thirty-six trillion, three hundred thirty-one billion, four hundred four million, one hundred thirty-three thousand, six hundred thirty-three".