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13534135343680 = 265754631110597
BaseRepresentation
bin1100010011110010100101…
…0101000101101001000000
31202220211222011101100222011
43010330221111011221000
53233220402121444210
644441255042422304
72564544330201340
oct304745125055100
952824864340864
1013534135343680
114348881627126
12162700a661994
13772356b597b3
1434b0ac998d20
151870c1ea0d8a
hexc4f29545a40

13534135343680 has 112 divisors (see below), whose sum is σ = 36833189849856. Its totient is φ = 4640148080640.

The previous prime is 13534135343669. The next prime is 13534135343699. The reversal of 13534135343680 is 8634353143531.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122318142 + ... + 122428738.

Almost surely, 213534135343680 is an apocalyptic number.

13534135343680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13534135343680 is an abundant number, since it is smaller than the sum of its proper divisors (23299054506176).

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

13534135343680 is a wasteful number, since it uses less digits than its factorization.

13534135343680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165252 (or 165242 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 49.

The spelling of 13534135343680 in words is "thirteen trillion, five hundred thirty-four billion, one hundred thirty-five million, three hundred forty-three thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 560 1120 2240 54631 109262 110597 218524 221194 273155 382417 437048 442388 546310 552985 764834 774179 874096 884776 1092620 1105970 1529668 1548358 1748192 1769552 1912085 2185240 2211940 3059336 3096716 3496384 3539104 3824170 3870895 4370480 4423880 6118672 6193432 7078208 7648340 7741790 8740960 8847760 12237344 12386864 15296680 15483580 17481920 17695520 24474688 24773728 30593360 30967160 35391040 49547456 61186720 61934320 122373440 123868640 247737280 6042024707 12084049414 24168098828 30210123535 42294172949 48336197656 60420247070 84588345898 96672395312 120840494140 169176691796 193344790624 211470864745 241680988280 338353383592 386689581248 422941729490 483361976560 676706767184 845883458980 966723953120 1353413534368 1691766917960 1933447906240 2706827068736 3383533835920 6767067671840 13534135343680