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38713317049 = 1123125772
BaseRepresentation
bin100100000011011111…
…100101011010111001
310200220222221021022101
4210003133211122321
51113241102121144
625441252423401
72540231523361
oct440337453271
9120828837271
1038713317049
1115466727100
127605017b61
13385c62abc4
141c337559a1
151018a776d4
hex9037e56b9

38713317049 has 27 divisors (see below), whose sum is σ = 44045935983. Its totient is φ = 33999609600.

The previous prime is 38713317029. The next prime is 38713317053. The reversal of 38713317049 is 94071331783.

The square root of 38713317049 is 196757.

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., 38445405625 + 267911424 = 196075^2 + 16368^2 .

It is not a de Polignac number, because 38713317049 - 211 = 38713315001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (38713317029) 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 in 26 ways as a sum of consecutive naturals, for example, 67093849 + ... + 67094425.

Almost surely, 238713317049 is an apocalyptic number.

38713317049 is the 196757-th square number.

38713317049 is the 98379-th centered octagonal number.

It is an amenable number.

38713317049 is a deficient number, since it is larger than the sum of its proper divisors (5332618934).

38713317049 is an frugal number, since it uses more digits than its factorization.

38713317049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1238 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 46.

The spelling of 38713317049 in words is "thirty-eight billion, seven hundred thirteen million, three hundred seventeen thousand, forty-nine".

Divisors: 1 11 31 121 341 577 961 3751 6347 10571 17887 69817 116281 196757 332929 554497 2164327 3662219 6099467 10320799 40284409 67094137 113528789 319944769 1248816679 3519392459 38713317049