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85875206550 = 23527109374827
BaseRepresentation
bin100111111111010001…
…1111010100110010110
322012122210100111020120
41033332203322212112
52401333023102200
6103241151412410
76130032132450
oct1177643724626
9265583314216
1085875206550
1133468351791
1214787524106
1381373b8bb3
1442291812d0
1523791a59a0
hex13fe8fa996

85875206550 has 96 divisors (see below), whose sum is σ = 243620812032. Its totient is φ = 19610398080.

The previous prime is 85875206533. The next prime is 85875206579. The reversal of 85875206550 is 5560257858.

It is a super-2 number, since 2×858752065502 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 85875206493 and 85875206502.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1110237 + ... + 1185063.

It is an arithmetic number, because the mean of its divisors is an integer number (2537716792).

Almost surely, 285875206550 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85875206550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121810406016).

85875206550 is an abundant number, since it is smaller than the sum of its proper divisors (157745605482).

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

85875206550 is a wasteful number, since it uses less digits than its factorization.

85875206550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75942 (or 75937 counting only the distinct ones).

The product of its (nonzero) digits is 3360000, while the sum is 51.

The spelling of 85875206550 in words is "eighty-five billion, eight hundred seventy-five million, two hundred six thousand, five hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 70 75 105 150 175 210 350 525 1050 1093 2186 3279 5465 6558 7651 10930 15302 16395 22953 27325 32790 38255 45906 54650 74827 76510 81975 114765 149654 163950 191275 224481 229530 374135 382550 448962 523789 573825 748270 1047578 1122405 1147650 1571367 1870675 2244810 2618945 3142734 3741350 5237890 5612025 7856835 11224050 13094725 15713670 26189450 39284175 78568350 81785911 163571822 245357733 408929555 490715466 572501377 817859110 1145002754 1226788665 1717504131 2044647775 2453577330 2862506885 3435008262 4089295550 5725013770 6133943325 8587520655 12267886650 14312534425 17175041310 28625068850 42937603275 85875206550