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13035473929 = 2923121272
BaseRepresentation
bin11000010001111100…
…11000110000001001
31020122110112200112201
430020332120300021
5203144040131204
65553255240201
7641013462112
oct141076306011
936573480481
1013035473929
11558a204555
122639679061
1312c98423aa
148b9361209
1551460c9a4
hex308f98c09

13035473929 has 27 divisors (see below), whose sum is σ = 14060728071. Its totient is φ = 12084070320.

The previous prime is 13035473917. The next prime is 13035473953. The reversal of 13035473929 is 92937453031.

The square root of 13035473929 is 114173.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 6835486329 + 6199987600 = 82677^2 + 78740^2 .

It is not a de Polignac number, because 13035473929 - 215 = 13035441161 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13035473329) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 102641464 + ... + 102641590.

Almost surely, 213035473929 is an apocalyptic number.

13035473929 is the 114173-rd square number.

13035473929 is the 57087-th centered octagonal number.

It is an amenable number.

13035473929 is a deficient number, since it is larger than the sum of its proper divisors (1025254142).

13035473929 is an frugal number, since it uses more digits than its factorization.

13035473929 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 46.

The spelling of 13035473929 in words is "thirteen billion, thirty-five million, four hundred seventy-three thousand, nine hundred twenty-nine".

Divisors: 1 29 31 127 841 899 961 3683 3937 16129 26071 27869 106807 114173 122047 467741 499999 808201 3311017 3539363 13564489 14499971 15499969 102641527 420499159 449499101 13035473929