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82547132522205 = 35132330553602401
BaseRepresentation
bin10010110001001110000000…
…100000101101111011011101
3101211021102120121001210102010
4102301032000200231323131
541304423011411202310
6451321343522221433
723246555616252201
oct2261160040557335
9354242517053363
1082547132522205
1124336051344a0a
12931222b7b4879
13370a2131bc340
14165543420ab01
159823912c6320
hex4b138082dedd

82547132522205 has 64 divisors (see below), whose sum is σ = 148424296269312. Its totient is φ = 38870356377600.

The previous prime is 82547132522203. The next prime is 82547132522207. The reversal of 82547132522205 is 50222523174528.

It is an interprime number because it is at equal distance from previous prime (82547132522203) and next prime (82547132522207).

It is not a de Polignac number, because 82547132522205 - 21 = 82547132522203 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82547132522201) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 136729005 + ... + 137331405.

It is an arithmetic number, because the mean of its divisors is an integer number (2319129629208).

Almost surely, 282547132522205 is an apocalyptic number.

It is an amenable number.

82547132522205 is a deficient number, since it is larger than the sum of its proper divisors (65877163747107).

82547132522205 is a wasteful number, since it uses less digits than its factorization.

82547132522205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632998.

The product of its (nonzero) digits is 2688000, while the sum is 48.

The spelling of 82547132522205 in words is "eighty-two trillion, five hundred forty-seven billion, one hundred thirty-two million, five hundred twenty-two thousand, two hundred five".

Divisors: 1 3 5 13 15 23 39 65 69 115 195 299 345 897 1495 4485 30553 91659 152765 397189 458295 602401 702719 1191567 1807203 1985945 2108157 3012005 3513595 5957835 7831213 9036015 9135347 10540785 13855223 23493639 27406041 39156065 41565669 45676735 69276115 117468195 137030205 180117899 207828345 540353697 900589495 2701768485 18405157753 55215473259 92025788765 239267050789 276077366295 423318628319 717801152367 1196335253945 1269955884957 2116593141595 3589005761835 5503142168147 6349779424785 16509426504441 27515710840735 82547132522205