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1353154049 = 131740115269
BaseRepresentation
bin101000010100111…
…0111111000000001
310111022012100101122
41100221313320001
510232401412144
6342134442025
745350422352
oct12051677001
93438170348
101353154049
11634902735
12319203315
13187458b90
14cb9d9d29
157dbde7ee
hex50a77e01

1353154049 has 16 divisors (see below), whose sum is σ = 1546912080. Its totient is φ = 1172582400.

The previous prime is 1353154039. The next prime is 1353154067. The reversal of 1353154049 is 9404513531.

It can be written as a sum of positive squares in 8 ways, for example, as 97160449 + 1255993600 = 9857^2 + 35440^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1353154049 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1353154039) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80987 + ... + 96255.

It is an arithmetic number, because the mean of its divisors is an integer number (96682005).

Almost surely, 21353154049 is an apocalyptic number.

It is an amenable number.

1353154049 is a deficient number, since it is larger than the sum of its proper divisors (193758031).

1353154049 is a wasteful number, since it uses less digits than its factorization.

1353154049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15700.

The product of its (nonzero) digits is 32400, while the sum is 35.

The square root of 1353154049 is about 36785.2422718677. The cubic root of 1353154049 is about 1106.0694924436.

The spelling of 1353154049 in words is "one billion, three hundred fifty-three million, one hundred fifty-four thousand, forty-nine".

Divisors: 1 13 17 221 401 5213 6817 15269 88621 198497 259573 3374449 6122869 79597297 104088773 1353154049