Search a number
-
+
12189384279128 = 237329314941263
BaseRepresentation
bin1011000101100000111111…
…1010111000010001011000
31121011021221011000021220202
42301120033322320101120
53044202324333413003
641531420440241332
72365440206561000
oct261301772702130
947137834007822
1012189384279128
11397a541715871
12144a474170248
136a55b95b0204
14301d7dc61000
15162119411088
hexb160feb8458

12189384279128 has 128 divisors (see below), whose sum is σ = 28461680640000. Its totient is φ = 4881176254080.

The previous prime is 12189384279091. The next prime is 12189384279139. The reversal of 12189384279128 is 82197248398121.

It is a super-3 number, since 3×121893842791283 (a number of 40 digits) contains 333 as substring.

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, 3776 + ... + 4937487.

It is an arithmetic number, because the mean of its divisors is an integer number (222356880000).

Almost surely, 212189384279128 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 12189384279128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14230840320000).

12189384279128 is an abundant number, since it is smaller than the sum of its proper divisors (16272296360872).

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

12189384279128 is a wasteful number, since it uses less digits than its factorization.

12189384279128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4941350 (or 4941332 counting only the distinct ones).

The product of its digits is 27869184, while the sum is 65.

The spelling of 12189384279128 in words is "twelve trillion, one hundred eighty-nine billion, three hundred eighty-four million, two hundred seventy-nine thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 14 28 29 31 49 56 58 62 98 116 124 196 203 217 232 248 343 392 406 434 686 812 868 899 1372 1421 1519 1624 1736 1798 2744 2842 3038 3596 5684 6076 6293 7192 9947 10633 11368 12152 12586 19894 21266 25172 39788 42532 44051 50344 79576 85064 88102 176204 308357 352408 616714 1233428 2466856 4941263 9882526 19765052 34588841 39530104 69177682 138355364 143296627 153179153 242121887 276710728 286593254 306358306 484243774 573186508 612716612 968487548 1003076389 1072254071 1146373016 1225433224 1694853209 1936975096 2006152778 2144508142 3389706418 4012305556 4289016284 4442195437 6779412836 7021534723 7505778497 8024611112 8578032568 8884390874 13558825672 14043069446 15011556994 17768781748 28086138892 30023113988 31095368059 35537563496 49150743061 52540449479 56172277784 60046227976 62190736118 98301486122 105080898958 124381472236 196602972244 210161797916 217667576413 248762944472 393205944488 420323595832 435335152826 870670305652 1523673034891 1741340611304 3047346069782 6094692139564 12189384279128