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85224776805 = 3357178396323
BaseRepresentation
bin100111101011111001…
…0101110010001100101
322010222110110020101000
41033113302232101211
52344020020324210
6103052434423513
76104643436020
oct1172762562145
9263873406330
1085224776805
113316418a243
1214625731b99
13806271441c
1441a6a2c1b7
15233c025ac0
hex13d7cae465

85224776805 has 128 divisors (see below), whose sum is σ = 183588249600. Its totient is φ = 36618642432.

The previous prime is 85224776789. The next prime is 85224776827. The reversal of 85224776805 is 50867742258.

85224776805 is a `hidden beast` number, since 8 + 522 + 47 + 76 + 8 + 0 + 5 = 666.

It is not a de Polignac number, because 85224776805 - 24 = 85224776789 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13475374 + ... + 13481696.

It is an arithmetic number, because the mean of its divisors is an integer number (1434283200).

Almost surely, 285224776805 is an apocalyptic number.

85224776805 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

85224776805 is an abundant number, since it is smaller than the sum of its proper divisors (98363472795).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

85224776805 is a wasteful number, since it uses less digits than its factorization.

85224776805 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7200 (or 7194 counting only the distinct ones).

The product of its (nonzero) digits is 7526400, while the sum is 54.

The spelling of 85224776805 in words is "eighty-five billion, two hundred twenty-four million, seven hundred seventy-six thousand, eight hundred five".

Divisors: 1 3 5 7 9 15 17 21 27 35 45 51 63 85 105 119 135 153 189 255 315 357 459 595 765 839 945 1071 1785 2295 2517 3213 4195 5355 5873 6323 7551 12585 14263 16065 17619 18969 22653 29365 31615 37755 42789 44261 52857 56907 71315 88095 94845 99841 107491 113265 128367 132783 158571 170721 213945 221305 264285 284535 299523 322473 385101 398349 499205 537455 641835 663915 752437 792855 853605 898569 967419 1195047 1497615 1612365 1925505 1991745 2257311 2695707 2902257 3762185 4492845 4837095 5304997 5975235 6771933 11286555 13478535 14511285 15914991 20315799 26524985 33859665 37134979 47744973 79574955 90184949 101578995 111404937 143234919 185674895 238724865 270554847 334214811 450924745 557024685 631294643 716174595 811664541 1002644433 1352774235 1671074055 1893883929 2434993623 3156473215 4058322705 5013222165 5681651787 9469419645 12174968115 17044955361 28408258935 85224776805