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12486211712 = 271361312241
BaseRepresentation
bin10111010000011110…
…00111100010000000
31012020012000021102122
423220033013202000
5201032432233322
65422554503412
7621264022412
oct135017074200
935205007378
1012486211712
115328160737
122505734b68
13123cacc970
148664249b2
154d12b3442
hex2e83c7880

12486211712 has 64 divisors (see below), whose sum is σ = 26834219160. Its totient is φ = 5752995840.

The previous prime is 12486211681. The next prime is 12486211721. The reversal of 12486211712 is 21711268421.

It can be written as a sum of positive squares in 4 ways, for example, as 2776868416 + 9709343296 = 52696^2 + 98536^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1013912 + ... + 1026152.

Almost surely, 212486211712 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 12486211712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13417109580).

12486211712 is an abundant number, since it is smaller than the sum of its proper divisors (14348007448).

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

12486211712 is a wasteful number, since it uses less digits than its factorization.

12486211712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12881 (or 12869 counting only the distinct ones).

The product of its digits is 10752, while the sum is 35.

The spelling of 12486211712 in words is "twelve billion, four hundred eighty-six million, two hundred eleven thousand, seven hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 416 613 832 1226 1664 2452 4904 7969 9808 12241 15938 19616 24482 31876 39232 48964 63752 78464 97928 127504 159133 195856 255008 318266 391712 510016 636532 783424 1020032 1273064 1566848 2546128 5092256 7503733 10184512 15007466 20369024 30014932 60029864 97548529 120059728 195097058 240119456 390194116 480238912 780388232 960477824 1560776464 3121552928 6243105856 12486211712