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1093409349660 = 223451634140761
BaseRepresentation
bin11111110100101000100…
…01101010000000011100
310212112021120121001010000
433322110101222000130
5120403300243142120
62154145541014300
7141665463060345
oct17722421520034
93775246531100
101093409349660
11391792088931
12157ab06b4390
137c153538484
143acc80670cc
151d697095990
hexfe9446a01c

1093409349660 has 120 divisors (see below), whose sum is σ = 3451109807376. Its totient is φ = 289786947840.

The previous prime is 1093409349653. The next prime is 1093409349677. The reversal of 1093409349660 is 669439043901.

1093409349660 is a `hidden beast` number, since 1 + 0 + 9 + 3 + 4 + 0 + 93 + 496 + 60 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 1093409349597 and 1093409349606.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1806321 + ... + 2334440.

Almost surely, 21093409349660 is an apocalyptic number.

1093409349660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1093409349660 is an abundant number, since it is smaller than the sum of its proper divisors (2357700457716).

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

1093409349660 is a wasteful number, since it uses less digits than its factorization.

1093409349660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4140945 (or 4140934 counting only the distinct ones).

The product of its (nonzero) digits is 3779136, while the sum is 54.

The spelling of 1093409349660 in words is "one trillion, ninety-three billion, four hundred nine million, three hundred forty-nine thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 163 180 270 324 326 405 489 540 652 810 815 978 1467 1620 1630 1956 2445 2934 3260 4401 4890 5868 7335 8802 9780 13203 14670 17604 22005 26406 29340 44010 52812 66015 88020 132030 264060 4140761 8281522 12422283 16563044 20703805 24844566 37266849 41407610 49689132 62111415 74533698 82815220 111800547 124222830 149067396 186334245 223601094 248445660 335401641 372668490 447202188 559002735 670803282 674944043 745336980 1118005470 1341606564 1349888086 1677008205 2024832129 2236010940 2699776172 3354016410 3374720215 4049664258 6074496387 6708032820 6749440430 8099328516 10124160645 12148992774 13498880860 18223489161 20248321290 24297985548 30372481935 36446978322 40496642580 54670467483 60744963870 72893956644 91117445805 109340934966 121489927740 182234891610 218681869932 273352337415 364469783220 546704674830 1093409349660