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13674344253700 = 225213431571558099
BaseRepresentation
bin1100011011111100111001…
…1011101000100100000100
31210102020212120011222101111
43012333032123220210010
53243020024112104300
645025523530134404
72610636666234634
oct306771633504404
953366776158344
1013674344253700
1143a2290929479
12164a21a281404
1378263caa5490
14353badc486c4
1518aa7b1db9ba
hexc6fce6e8904

13674344253700 has 144 divisors (see below), whose sum is σ = 32907346225600. Its totient is φ = 4900155886080.

The previous prime is 13674344253637. The next prime is 13674344253733. The reversal of 13674344253700 is 735244347631.

It is a happy number.

13674344253700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 7997251 + ... + 9555349.

Almost surely, 213674344253700 is an apocalyptic number.

13674344253700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13674344253700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16453673112800).

13674344253700 is an abundant number, since it is smaller than the sum of its proper divisors (19233001971900).

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

13674344253700 is a wasteful number, since it uses less digits than its factorization.

13674344253700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1558326 (or 1558319 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 49.

The spelling of 13674344253700 in words is "thirteen trillion, six hundred seventy-four billion, three hundred forty-four million, two hundred fifty-three thousand, seven hundred".

Divisors: 1 2 4 5 10 13 20 25 26 43 50 52 65 86 100 130 157 172 215 260 314 325 430 559 628 650 785 860 1075 1118 1300 1570 2041 2150 2236 2795 3140 3925 4082 4300 5590 6751 7850 8164 10205 11180 13502 13975 15700 20410 27004 27950 33755 40820 51025 55900 67510 87763 102050 135020 168775 175526 204100 337550 351052 438815 675100 877630 1558099 1755260 2194075 3116198 4388150 6232396 7790495 8776300 15580990 20255287 31161980 38952475 40510574 66998257 77904950 81021148 101276435 133996514 155809900 202552870 244621543 267993028 334991285 405105740 489243086 506382175 669982570 870977341 978486172 1012764350 1223107715 1339965140 1674956425 1741954682 2025528700 2446215430 3180080059 3349912850 3483909364 4354886705 4892430860 6115538575 6360160118 6699825700 8709773410 10518726349 12231077150 12720320236 15900400295 17419546820 21037452698 21774433525 24462154300 31800800590 42074905396 43548867050 52593631745 63601601180 79502001475 87097734100 105187263490 136743442537 159004002950 210374526980 262968158725 273486885074 318008005900 525936317450 546973770148 683717212685 1051872634900 1367434425370 2734868850740 3418586063425 6837172126850 13674344253700