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5948882641 = 1321723492
BaseRepresentation
bin1011000101001010…
…01011111011010001
3120100120212112211201
411202211023323101
544140403221031
62422145111201
7300263445112
oct54245137321
916316775751
105948882641
112582a97639
1211a0328501
1373a60bc00
14406104209
1524c3dbd61
hex16294bed1

5948882641 has 27 divisors (see below), whose sum is σ = 6862565331. Its totient is φ = 5153451264.

The previous prime is 5948882629. The next prime is 5948882699. The reversal of 5948882641 is 1462888495.

The square root of 5948882641 is 77129.

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

It can be written as a sum of positive squares in 13 ways, for example, as 2104882641 + 3844000000 = 45879^2 + 62000^2 .

It is not a de Polignac number, because 5948882641 - 217 = 5948751569 is a prime.

It is a super-2 number, since 2×59488826412 = 70778409352782269762, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5948882141) 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 26 ways as a sum of consecutive naturals, for example, 17045335 + ... + 17045683.

Almost surely, 25948882641 is an apocalyptic number.

5948882641 is the 77129-th square number.

5948882641 is the 38565-th centered octagonal number.

It is an amenable number.

5948882641 is a deficient number, since it is larger than the sum of its proper divisors (913682690).

5948882641 is an equidigital number, since it uses as much as digits as its factorization.

5948882641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758 (or 379 counting only the distinct ones).

The product of its digits is 4423680, while the sum is 55.

The cubic root of 5948882641 is about 1811.9455125487.

It can be divided in two parts, 594888 and 2641, that added together give a square (597529 = 7732).

The spelling of 5948882641 in words is "five billion, nine hundred forty-eight million, eight hundred eighty-two thousand, six hundred forty-one".

Divisors: 1 13 17 169 221 289 349 2873 3757 4537 5933 48841 58981 77129 100861 121801 1002677 1311193 1583413 2070617 17045509 20584369 26918021 35200489 349934273 457606357 5948882641