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23364956129 is a prime number
BaseRepresentation
bin10101110000101010…
…001110111111100001
32020022100021202021112
4111300222032333201
5340322412044004
614422252033105
71455001564424
oct256052167741
966270252245
1023364956129
1199aa9aa3a9
124640a62795
132284880a38
1411b916d9bb
1591b39ee6e
hex570a8efe1

23364956129 has 2 divisors, whose sum is σ = 23364956130. Its totient is φ = 23364956128.

The previous prime is 23364956123. The next prime is 23364956149. The reversal of 23364956129 is 92165946332.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 14822575504 + 8542380625 = 121748^2 + 92425^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-23364956129 is a prime.

It is not a weakly prime, because it can be changed into another prime (23364956123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11682478064 + 11682478065.

It is an arithmetic number, because the mean of its divisors is an integer number (11682478065).

Almost surely, 223364956129 is an apocalyptic number.

It is an amenable number.

23364956129 is a deficient number, since it is larger than the sum of its proper divisors (1).

23364956129 is an equidigital number, since it uses as much as digits as its factorization.

23364956129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2099520, while the sum is 50.

The spelling of 23364956129 in words is "twenty-three billion, three hundred sixty-four million, nine hundred fifty-six thousand, one hundred twenty-nine".