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12825730524060 = 22325547174174821
BaseRepresentation
bin1011101010100011100100…
…0111001010001110011100
31200102010110012201220012200
42322220321013022032130
53140114044003232220
643140020444531500
72462425362450456
oct272507107121634
950363405656180
1012825730524060
1140a53a8573113
121531867250b90
137205cc33b50c
14324aa932d2d6
151739600d6890
hexbaa391ca39c

12825730524060 has 144 divisors (see below), whose sum is σ = 38998747980192. Its totient is φ = 3411935654400.

The previous prime is 12825730524043. The next prime is 12825730524137. The reversal of 12825730524060 is 6042503752821.

12825730524060 is a `hidden beast` number, since 1 + 28 + 2 + 573 + 0 + 52 + 4 + 0 + 6 + 0 = 666.

12825730524060 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 12825730523997 and 12825730524015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 171381450 + ... + 171456270.

Almost surely, 212825730524060 is an apocalyptic number.

12825730524060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12825730524060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19499373990096).

12825730524060 is an abundant number, since it is smaller than the sum of its proper divisors (26173017456132).

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

12825730524060 is a wasteful number, since it uses less digits than its factorization.

12825730524060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77124 (or 77119 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 12825730524060 in words is "twelve trillion, eight hundred twenty-five billion, seven hundred thirty million, five hundred twenty-four thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 547 1094 1641 1741 2188 2735 3282 3482 4923 5223 5470 6564 6964 8205 8705 9846 10446 10940 15669 16410 17410 19692 20892 24615 26115 31338 32820 34820 49230 52230 62676 74821 78345 98460 104460 149642 156690 224463 299284 313380 374105 448926 673389 748210 897852 952327 1122315 1346778 1496420 1904654 2244630 2693556 2856981 3366945 3809308 4489260 4761635 5713962 6733890 8570943 9523270 11427924 13467780 14284905 17141886 19046540 28569810 34283772 40927087 42854715 57139620 81854174 85709430 122781261 130263361 163708348 171418860 204635435 245562522 260526722 368343783 390790083 409270870 491125044 521053444 613906305 651316805 736687566 781580166 818541740 1172370249 1227812610 1302633610 1473375132 1563160332 1841718915 1953950415 2344740498 2455625220 2605267220 3683437830 3907900830 4689480996 5861851245 7366875660 7815801660 11723702490 23447404980 71254058467 142508116934 213762175401 285016233868 356270292335 427524350802 641286526203 712540584670 855048701604 1068810877005 1282573052406 1425081169340 2137621754010 2565146104812 3206432631015 4275243508020 6412865262030 12825730524060