Search a number
-
+
12869561016 = 2333138355219
BaseRepresentation
bin10111111110001010…
…11110101010111000
31020012220100102211000
423333011132222320
5202324101423031
65525011205000
7633630315024
oct137705365270
936186312730
1012869561016
115504593744
1225b1ba6760
1312a1361480
148a12d3384
15504c883e6
hex2ff15eab8

12869561016 has 128 divisors (see below), whose sum is σ = 38963232000. Its totient is φ = 3912084864.

The previous prime is 12869561011. The next prime is 12869561063. The reversal of 12869561016 is 61016596821.

12869561016 is a `hidden beast` number, since 1 + 2 + 86 + 9 + 561 + 0 + 1 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12869561011) 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, 205455 + ... + 260673.

It is an arithmetic number, because the mean of its divisors is an integer number (304400250).

Almost surely, 212869561016 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 12869561016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19481616000).

12869561016 is an abundant number, since it is smaller than the sum of its proper divisors (26093670984).

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

12869561016 is a wasteful number, since it uses less digits than its factorization.

12869561016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55330 (or 55320 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 12869561016 in words is "twelve billion, eight hundred sixty-nine million, five hundred sixty-one thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 83 104 108 117 156 166 216 234 249 312 332 351 468 498 664 702 747 936 996 1079 1404 1494 1992 2158 2241 2808 2988 3237 4316 4482 5976 6474 8632 8964 9711 12948 17928 19422 25896 29133 38844 55219 58266 77688 110438 116532 165657 220876 233064 331314 441752 496971 662628 717847 993942 1325256 1435694 1490913 1987884 2153541 2871388 2981826 3975768 4307082 4583177 5742776 5963652 6460623 8614164 9166354 11927304 12921246 13749531 17228328 18332708 19381869 25842492 27499062 36665416 38763738 41248593 51684984 54998124 59581301 77527476 82497186 109996248 119162602 123745779 155054952 164994372 178743903 238325204 247491558 329988744 357487806 476650408 494983116 536231709 714975612 989966232 1072463418 1429951224 1608695127 2144926836 3217390254 4289853672 6434780508 12869561016