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1257445105 = 5725132429
BaseRepresentation
bin100101011110011…
…0001011011110001
310020122002211101221
41022330301123301
510033401220410
6324435225041
743106051500
oct11274613361
93218084357
101257445105
11595882134
122b1148181
13170688577
14bd004837
15755d64da
hex4af316f1

1257445105 has 12 divisors (see below), whose sum is σ = 1755291060. Its totient is φ = 862247904.

The previous prime is 1257445093. The next prime is 1257445109. The reversal of 1257445105 is 5015447521.

It can be written as a sum of positive squares in 2 ways, for example, as 552861169 + 704583936 = 23513^2 + 26544^2 .

It is not a de Polignac number, because 1257445105 - 27 = 1257444977 is a prime.

It is a super-2 number, since 2×12574451052 = 3162336384176922050, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1257445109) 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 in 11 ways as a sum of consecutive naturals, for example, 2565970 + ... + 2566459.

It is an arithmetic number, because the mean of its divisors is an integer number (146274255).

Almost surely, 21257445105 is an apocalyptic number.

It is an amenable number.

1257445105 is a deficient number, since it is larger than the sum of its proper divisors (497845955).

1257445105 is an equidigital number, since it uses as much as digits as its factorization.

1257445105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5132448 (or 5132441 counting only the distinct ones).

The product of its (nonzero) digits is 28000, while the sum is 34.

The square root of 1257445105 is about 35460.4724305811. The cubic root of 1257445105 is about 1079.3517786505.

The spelling of 1257445105 in words is "one billion, two hundred fifty-seven million, four hundred forty-five thousand, one hundred five".

Divisors: 1 5 7 35 49 245 5132429 25662145 35927003 179635015 251489021 1257445105