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10705455949 is a prime number
BaseRepresentation
bin10011111100001100…
…00100101101001101
31000122002012111202111
421332012010231031
5133411044042244
64530143024021
7526201605556
oct117606045515
930562174674
1010705455949
1145a3a50561
1220a929b011
131017bba026
14737b1b32d
15429cabe34
hex27e184b4d

10705455949 has 2 divisors, whose sum is σ = 10705455950. Its totient is φ = 10705455948.

The previous prime is 10705455947. The next prime is 10705455953. The reversal of 10705455949 is 94955450701.

It is a happy number.

10705455949 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., 6469789225 + 4235666724 = 80435^2 + 65082^2 .

It is a cyclic number.

It is not a de Polignac number, because 10705455949 - 21 = 10705455947 is a prime.

It is a super-2 number, since 2×107054559492 (a number of 21 digits) contains 22 as substring.

Together with 10705455947, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10705455941) 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, 5352727974 + 5352727975.

It is an arithmetic number, because the mean of its divisors is an integer number (5352727975).

Almost surely, 210705455949 is an apocalyptic number.

It is an amenable number.

10705455949 is a deficient number, since it is larger than the sum of its proper divisors (1).

10705455949 is an equidigital number, since it uses as much as digits as its factorization.

10705455949 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1134000, while the sum is 49.

The spelling of 10705455949 in words is "ten billion, seven hundred five million, four hundred fifty-five thousand, nine hundred forty-nine".