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796585780485 = 335117134721773
BaseRepresentation
bin10111001011110000011…
…01100110010100000101
32211011010102200102022000
423211320031212110011
5101022401424433420
61405540233455513
7111360065262165
oct13457015462405
92734112612260
10796585780485
112879149a7080
1210a472b71599
135a16b815541
142a7aab365a5
1515ac36cb690
hexb978366505

796585780485 has 128 divisors (see below), whose sum is σ = 1571239710720. Its totient is φ = 379668844800.

The previous prime is 796585780453. The next prime is 796585780517. The reversal of 796585780485 is 584087585697.

796585780485 is a `hidden beast` number, since 7 + 9 + 6 + 5 + 8 + 578 + 0 + 48 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (796585780453) and next prime (796585780517).

It is not a de Polignac number, because 796585780485 - 25 = 796585780453 is a prime.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 36575059 + ... + 36596831.

It is an arithmetic number, because the mean of its divisors is an integer number (12275310240).

Almost surely, 2796585780485 is an apocalyptic number.

796585780485 is the 515295-th octagonal number.

It is an amenable number.

796585780485 is a deficient number, since it is larger than the sum of its proper divisors (774653930235).

796585780485 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (796585780484) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (22210).

796585780485 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22216 (or 22210 counting only the distinct ones).

The product of its (nonzero) digits is 677376000, while the sum is 72.

The spelling of 796585780485 in words is "seven hundred ninety-six billion, five hundred eighty-five million, seven hundred eighty thousand, four hundred eighty-five".

Divisors: 1 3 5 9 11 15 27 33 45 55 71 99 135 165 213 297 347 355 495 639 781 1041 1065 1485 1735 1917 2343 3123 3195 3817 3905 5205 7029 9369 9585 11451 11715 15615 19085 21087 21773 24637 34353 35145 46845 57255 65319 73911 103059 105435 108865 123185 171765 195957 221733 239503 271007 326595 369555 515295 587871 665199 718509 813021 979785 1108665 1197515 1355035 1545883 2155527 2439063 2939355 3325995 3592545 4065105 4637649 6466581 7317189 7555231 7729415 10777635 12195315 13912947 17004713 22665693 23188245 32332905 36585945 37776155 41738841 51014139 67997079 69564735 83107541 85023565 113328465 153042417 203991237 208694205 249322623 255070695 339985395 415537705 459127251 536421401 747967869 765212085 1019956185 1246613115 1609264203 2243903607 2295636255 2682107005 3739839345 4827792609 5900635411 8046321015 11219518035 14483377827 17701906233 24138963045 29503177055 53105718699 72416889135 88509531165 159317156097 265528593495 796585780485