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16442615643132 = 22371072830764627
BaseRepresentation
bin1110111101000101100001…
…0000111011101111111100
32011012220021011012011001110
43233101120100323233330
54123343434101040012
654545344445242020
73314640225633150
oct357213020735774
964186234164043
1016442615643132
11526a301966248
121a16832863310
139236bba68123
1440bb80c03060
151d7a9bc2b73c
hexef45843bbfc

16442615643132 has 96 divisors (see below), whose sum is σ = 44259008145408. Its totient is φ = 4653748246464.

The previous prime is 16442615643121. The next prime is 16442615643133. The reversal of 16442615643132 is 23134651624461.

It is a super-3 number, since 3×164426156431323 (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16442615643133) 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, 254391003 + ... + 254455629.

It is an arithmetic number, because the mean of its divisors is an integer number (461031334848).

Almost surely, 216442615643132 is an apocalyptic number.

16442615643132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

16442615643132 is an abundant number, since it is smaller than the sum of its proper divisors (27816392502276).

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

16442615643132 is a wasteful number, since it uses less digits than its factorization.

16442615643132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93055 (or 93053 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 48.

The spelling of 16442615643132 in words is "sixteen trillion, four hundred forty-two billion, six hundred fifteen million, six hundred forty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 107 214 321 428 642 749 1284 1498 2247 2996 4494 8988 28307 56614 64627 84921 113228 129254 169842 193881 198149 258508 339684 387762 396298 452389 594447 775524 792596 904778 1188894 1357167 1809556 2377788 2714334 3028849 5428668 6057698 6915089 9086547 12115396 13830178 18173094 20745267 21201943 27660356 36346188 41490534 42403886 48405623 63605829 82981068 84807772 96811246 127211658 145216869 193622492 254423316 290433738 580867476 1829396489 3658792978 5488189467 7317585956 10976378934 12805775423 21952757868 25611550846 38417326269 51223101692 76834652538 153669305076 195745424323 391490848646 587236272969 782981697292 1174472545938 1370217970261 2348945091876 2740435940522 4110653910783 5480871881044 8221307821566 16442615643132