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5479939219329 = 3627723132
BaseRepresentation
bin100111110111110010111…
…0101001001111110000001
3201101212200101102121000000
41033233211311021332001
51204240403420004304
615353241015350213
71103625000546501
oct117574565117601
921355611377000
105479939219329
111823035911583
12746070682369
133099aa076003
1414d3325c1a01
159782c0ce939
hex4fbe5d49f81

5479939219329 has 63 divisors (see below), whose sum is σ = 8272347526233. Its totient is φ = 3628474304832.

The previous prime is 5479939219327. The next prime is 5479939219343. The reversal of 5479939219329 is 9239129399745.

The square root of 5479939219329 is 2340927.

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

5479939219329 is a `hidden beast` number, since 5 + 47 + 9 + 9 + 392 + 193 + 2 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4182937119729 + 1297002099600 = 2045223^2 + 1138860^2 .

It is not a de Polignac number, because 5479939219329 - 21 = 5479939219327 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (5479939219327) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 17507792877 + ... + 17507793189.

It is an arithmetic number, because the mean of its divisors is an integer number (131307103591).

Almost surely, 25479939219329 is an apocalyptic number.

5479939219329 is the 2340927-th square number.

5479939219329 is the 1170464-th centered octagonal number.

It is an amenable number.

5479939219329 is a deficient number, since it is larger than the sum of its proper divisors (2792408306904).

5479939219329 is an frugal number, since it uses more digits than its factorization.

5479939219329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1198 (or 593 counting only the distinct ones).

The product of its digits is 297606960, while the sum is 72.

The spelling of 5479939219329 in words is "five trillion, four hundred seventy-nine billion, nine hundred thirty-nine million, two hundred nineteen thousand, three hundred twenty-nine".

Divisors: 1 3 9 27 81 243 277 313 729 831 939 2493 2817 7479 8451 22437 25353 67311 76059 76729 86701 97969 201933 228177 230187 260103 293907 690561 780309 881721 2071683 2340927 2645163 6215049 7022781 7935489 18645147 21068343 23806467 24016177 27137413 55935441 63205029 71419401 72048531 81412239 216145593 244236717 648436779 732710151 1945310337 2198130453 5835931011 6594391359 7517063401 17507793033 19783174077 22551190203 67653570609 202960711827 608882135481 1826646406443 5479939219329