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16442606634660 = 223251712742310243
BaseRepresentation
bin1110111101000101011110…
…1110100100011010100100
32011012220020112020110202100
43233101113232210122210
54123343424244302120
654545343524212100
73314640056233323
oct357212756443244
964186215213670
1016442606634660
11526a2a7873028
121a1682b83a030
139236b9c3297b
1440bb7d93a0ba
151d7a9b04c490
hexef457ba46a4

16442606634660 has 144 divisors (see below), whose sum is σ = 53225609988096. Its totient is φ = 4094277497856.

The previous prime is 16442606634637. The next prime is 16442606634673. The reversal of 16442606634660 is 6643660624461.

16442606634660 is a `hidden beast` number, since 1 + 64 + 4 + 2 + 60 + 6 + 63 + 466 + 0 = 666.

It is a super-3 number, since 3×164426066346603 (a number of 41 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 16442606634597 and 16442606634606.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20766502 + ... + 21543741.

It is an arithmetic number, because the mean of its divisors is an integer number (369622291584).

Almost surely, 216442606634660 is an apocalyptic number.

16442606634660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16442606634660 is an abundant number, since it is smaller than the sum of its proper divisors (36783003353436).

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

16442606634660 is a wasteful number, since it uses less digits than its factorization.

16442606634660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42310402 (or 42310397 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 54.

The spelling of 16442606634660 in words is "sixteen trillion, four hundred forty-two billion, six hundred six million, six hundred thirty-four thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 127 153 170 180 204 254 255 306 340 381 508 510 612 635 762 765 1020 1143 1270 1524 1530 1905 2159 2286 2540 3060 3810 4318 4572 5715 6477 7620 8636 10795 11430 12954 19431 21590 22860 25908 32385 38862 43180 64770 77724 97155 129540 194310 388620 42310243 84620486 126930729 169240972 211551215 253861458 380792187 423102430 507722916 634653645 719274131 761584374 846204860 1269307290 1438548262 1523168748 1903960935 2157822393 2538614580 2877096524 3596370655 3807921870 4315644786 5373400861 6473467179 7192741310 7615843740 8631289572 10746801722 10789111965 12946934358 14385482620 16120202583 21493603444 21578223930 25893868716 26867004305 32240405166 32367335895 43156447860 48360607749 53734008610 64480810332 64734671790 80601012915 91347814637 96721215498 107468017220 129469343580 161202025830 182695629274 193442430996 241803038745 274043443911 322404051660 365391258548 456739073185 483606077490 548086887822 822130331733 913478146370 967212154980 1096173775644 1370217219555 1644260663466 1826956292740 2740434439110 3288521326932 4110651658665 5480868878220 8221303317330 16442606634660