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21675781308132 = 2235727739114847
BaseRepresentation
bin1001110110110110010010…
…01111101011111011100100
32211202011222110122022100000
410323123021033223323210
510320114000003330012
6114033414431221300
74365011032066230
oct473331117537344
984664873568300
1021675781308132
1169a77135099a6
122520ab3377830
13c1302c31ccb3
1454d1832c35c0
15278c843b5ddc
hex13b6c93ebee4

21675781308132 has 144 divisors (see below), whose sum is σ = 64941049671680. Its totient is φ = 6192803188512.

The previous prime is 21675781308113. The next prime is 21675781308133. The reversal of 21675781308132 is 23180318757612.

21675781308132 is a `hidden beast` number, since 2 + 1 + 6 + 7 + 578 + 1 + 30 + 8 + 1 + 32 = 666.

It is a super-3 number, since 3×216757813081323 (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (21675781308133) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 188678733 + ... + 188793579.

Almost surely, 221675781308132 is an apocalyptic number.

It is an amenable number.

21675781308132 is an abundant number, since it is smaller than the sum of its proper divisors (43265268363548).

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

21675781308132 is a wasteful number, since it uses less digits than its factorization.

21675781308132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142612 (or 142598 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 21675781308132 in words is "twenty-one trillion, six hundred seventy-five billion, seven hundred eighty-one million, three hundred eight thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 243 252 324 378 486 567 756 972 1134 1701 2268 3402 6804 27739 55478 83217 110956 114847 166434 194173 229694 249651 332868 344541 388346 459388 499302 582519 689082 748953 776692 803929 998604 1033623 1165038 1378164 1497906 1607858 1747557 2067246 2246859 2330076 2411787 2995812 3100869 3215716 3495114 4134492 4493718 4823574 5242671 6201738 6740577 6990228 7235361 8987436 9302607 9647148 10485342 12403476 13481154 14470722 15728013 18605214 20970684 21706083 26962308 27907821 28941444 31456026 37210428 43412166 47184039 55815642 62912052 65118249 86824332 94368078 111631284 130236498 188736156 195354747 260472996 390709494 781418988 3185740933 6371481866 9557222799 12742963732 19114445598 22300186531 28671668397 38228891196 44600373062 57343336794 66900559593 86015005191 89200746124 114686673588 133801119186 172030010382 200701678779 258045015573 267602238372 344060020764 401403357558 516090031146 602105036337 774135046719 802806715116 1032180062292 1204210072674 1548270093438 1806315109011 2408420145348 3096540186876 3612630218022 5418945327033 7225260436044 10837890654066 21675781308132