Search a number
-
+
12278060244 = 2233415946997
BaseRepresentation
bin10110110111101010…
…00101010011010100
31011200200100002022000
423123311011103110
5200121140411434
65350201235300
7613155535002
oct133365052324
934620302260
1012278060244
11523071042a
122467a92b30
131208950308
1484691da72
154bcd98b99
hex2dbd454d4

12278060244 has 96 divisors (see below), whose sum is σ = 33161788800. Its totient is φ = 3925105920.

The previous prime is 12278060233. The next prime is 12278060257. The reversal of 12278060244 is 44206087221.

12278060244 is a `hidden beast` number, since 1 + 2 + 2 + 7 + 8 + 0 + 602 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12278060199 and 12278060208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 237754 + ... + 284750.

It is an arithmetic number, because the mean of its divisors is an integer number (345435300).

Almost surely, 212278060244 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 12278060244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16580894400).

12278060244 is an abundant number, since it is smaller than the sum of its proper divisors (20883728556).

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

12278060244 is a wasteful number, since it uses less digits than its factorization.

12278060244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47110 (or 47102 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 12278060244 in words is "twelve billion, two hundred seventy-eight million, sixty thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 59 82 108 118 123 164 177 236 246 354 369 492 531 708 738 1062 1107 1476 1593 2124 2214 2419 3186 4428 4838 6372 7257 9676 14514 21771 29028 43542 46997 65313 87084 93994 130626 140991 187988 261252 281982 422973 563964 845946 1268919 1691892 1926877 2537838 2772823 3853754 5075676 5545646 5780631 7707508 8318469 11091292 11561262 16636938 17341893 23122524 24955407 33273876 34683786 49910814 52025679 69367572 74866221 99821628 104051358 113685743 149732442 208102716 227371486 299464884 341057229 454742972 682114458 1023171687 1364228916 2046343374 3069515061 4092686748 6139030122 12278060244