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5173673234041 = 1344323132
BaseRepresentation
bin100101101001001011011…
…1101001000111001111001
3200022121011011221112100201
41023102112331020321321
51134231140321442131
615000430324402201
71042533305615344
oct113222675107171
920277134845321
105173673234041
111715162732844
126b6838846361
132b6b4c030000
1413c59b1d345b
158e8a4797761
hex4b496f48e79

5173673234041 has 45 divisors (see below), whose sum is σ = 5756564355579. Its totient is φ = 4649732627904.

The previous prime is 5173673234027. The next prime is 5173673234053. The reversal of 5173673234041 is 1404323763715.

The square root of 5173673234041 is 2274571.

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

It can be written as a sum of positive squares in 7 ways, for example, as 3020105244025 + 2153567990016 = 1737845^2 + 1467504^2 .

It is not a de Polignac number, because 5173673234041 - 29 = 5173673233529 is a prime.

It is a super-2 number, since 2×51736732340412 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 5173673233982 and 5173673234000.

It is not an unprimeable number, because it can be changed into a prime (5173673234021) 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 44 ways as a sum of consecutive naturals, for example, 16529307301 + ... + 16529307613.

Almost surely, 25173673234041 is an apocalyptic number.

5173673234041 is the 2274571-st square number.

5173673234041 is the 1137286-th centered octagonal number.

It is an amenable number.

5173673234041 is a deficient number, since it is larger than the sum of its proper divisors (582891121538).

5173673234041 is an frugal number, since it uses more digits than its factorization.

5173673234041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 46.

Adding to 5173673234041 its reverse (1404323763715), we get a palindrome (6577996997756).

The spelling of 5173673234041 in words is "five trillion, one hundred seventy-three billion, six hundred seventy-three million, two hundred thirty-four thousand, forty-one".

Divisors: 1 13 43 169 313 559 1849 2197 4069 7267 13459 24037 28561 52897 94471 97969 174967 312481 578737 687661 1228123 1273597 2274571 4062253 4212667 7523581 8939593 16556761 29569423 52809289 54764671 97806553 181144681 215237893 384402499 711940723 1271485189 2354880853 2798092609 9255229399 16529307457 30613451089 120317982187 397974864157 5173673234041