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85883124912 = 243131399531039
BaseRepresentation
bin100111111111100001…
…0000111110010110000
322012200100020210012020
41033333002013302300
52401342034444122
6103242033231440
76130156342164
oct1177702076260
9265610223166
1085883124912
113347186a992
121478a102580
138138c2c110
14422a242ca4
152379c1bc5c
hex13ff087cb0

85883124912 has 160 divisors (see below), whose sum is σ = 241134566400. Its totient is φ = 26182711296.

The previous prime is 85883124871. The next prime is 85883124917. The reversal of 85883124912 is 21942138858.

It is a super-2 number, since 2×858831249122 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (85883124917) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82658889 + ... + 82659927.

It is an arithmetic number, because the mean of its divisors is an integer number (1507091040).

Almost surely, 285883124912 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85883124912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120567283200).

85883124912 is an abundant number, since it is smaller than the sum of its proper divisors (155251441488).

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

85883124912 is a wasteful number, since it uses less digits than its factorization.

85883124912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2155 (or 2149 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 51.

The spelling of 85883124912 in words is "eighty-five billion, eight hundred eighty-three million, one hundred twenty-four thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 139 156 208 278 312 417 556 624 834 953 1039 1112 1668 1807 1906 2078 2224 2859 3117 3336 3614 3812 4156 5421 5718 6234 6672 7228 7624 8312 10842 11436 12389 12468 13507 14456 15248 16624 21684 22872 24778 24936 27014 28912 37167 40521 43368 45744 49556 49872 54028 74334 81042 86736 99112 108056 132467 144421 148668 162084 198224 216112 264934 288842 297336 324168 397401 433263 529868 577684 594672 648336 794802 866526 990167 1059736 1155368 1589604 1722071 1733052 1877473 1980334 2119472 2310736 2970501 3179208 3444142 3466104 3754946 3960668 5166213 5632419 5941002 6358416 6888284 6932208 7509892 7921336 10332426 11264838 11882004 12872171 13776568 15019784 15842672 20664852 22529676 23764008 25744342 27553136 30039568 38616513 41329704 45059352 47528016 51488684 77233026 82659408 90118704 102977368 137633213 154466052 205954736 275266426 308932104 412899639 550532852 617864208 825799278 1101065704 1651598556 1789231769 2202131408 3303197112 3578463538 5367695307 6606394224 7156927076 10735390614 14313854152 21470781228 28627708304 42941562456 85883124912