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486591348721 = 17237211092
BaseRepresentation
bin1110001010010110001…
…10101011111111110001
31201111222101110122121111
413011023012223333301
530433014341124341
61011311553153321
750104121135512
oct7051306537761
91644871418544
10486591348721
111783a9149315
127a37a55b841
1336b681c8aaa
14197a04c0a09
15c9cd8ae681
hex714b1abff1

486591348721 has 27 divisors (see below), whose sum is σ = 531725331459. Its totient is φ = 445189010688.

The previous prime is 486591348709. The next prime is 486591348739. The reversal of 486591348721 is 127843195684.

The square root of 486591348721 is 697561.

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 198480051121 + 288111297600 = 445511^2 + 536760^2 .

It is a de Polignac number, because none of the positive numbers 2k-486591348721 is a prime.

It is a super-2 number, since 2×4865913487212 (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (58) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (486591348821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 438765315 + ... + 438766423.

Almost surely, 2486591348721 is an apocalyptic number.

486591348721 is the 697561-st square number.

486591348721 is the 348781-st centered octagonal number.

It is an amenable number.

486591348721 is a deficient number, since it is larger than the sum of its proper divisors (45133982738).

486591348721 is an frugal number, since it uses more digits than its factorization.

486591348721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2326 (or 1163 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 58.

The spelling of 486591348721 in words is "four hundred eighty-six billion, five hundred ninety-one million, three hundred forty-eight thousand, seven hundred twenty-one".

Divisors: 1 17 37 289 629 1109 1369 10693 18853 23273 41033 320501 395641 697561 1229881 1518221 11858537 20907977 25809757 45505597 355435609 438765869 773595149 1683707089 13151117533 28623020513 486591348721