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5173781041 = 1121325032
BaseRepresentation
bin1001101000110000…
…11010001000110001
3111100120101022100001
410310120122020301
541043441443131
62213220030001
7242132261512
oct46430321061
914316338301
105173781041
112215512300
121004832301
13645b65c00
143711baa09
15204332261
hex13461a231

5173781041 has 27 divisors (see below), whose sum is σ = 6170252907. Its totient is φ = 4333002960.

The previous prime is 5173781033. The next prime is 5173781051. The reversal of 5173781041 is 1401873715.

The square root of 5173781041 is 71929.

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., 765352225 + 4408428816 = 27665^2 + 66396^2 .

It is not a de Polignac number, because 5173781041 - 23 = 5173781033 is a prime.

It is a super-2 number, since 2×51737810412 = 53536020520422087362, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5173781051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 10285596 + ... + 10286098.

Almost surely, 25173781041 is an apocalyptic number.

5173781041 is the 71929-th square number.

5173781041 is the 35965-th centered octagonal number.

It is an amenable number.

5173781041 is a deficient number, since it is larger than the sum of its proper divisors (996471866).

5173781041 is an equidigital number, since it uses as much as digits as its factorization.

5173781041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1054 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 37.

The cubic root of 5173781041 is about 1729.5615226305.

The spelling of 5173781041 in words is "five billion, one hundred seventy-three million, seven hundred eighty-one thousand, forty-one".

Divisors: 1 11 13 121 143 169 503 1573 1859 5533 6539 20449 60863 71929 85007 253009 791219 935077 2783099 3289117 10285847 30614089 36180287 42758521 397983157 470343731 5173781041