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135463040160 = 2535725759483
BaseRepresentation
bin111111000101000111…
…0011111010010100000
3110221122122121102212120
41332022032133102200
54204412014241120
6142121511024240
712533620562100
oct1761216372240
9427578542776
10135463040160
11524a439a058
122230636b080
13ca0a947686
1467b0c61200
1537cc782140
hex1f8a39f4a0

135463040160 has 144 divisors (see below), whose sum is σ = 496375369056. Its totient is φ = 30962975232.

The previous prime is 135463040123. The next prime is 135463040173. The reversal of 135463040160 is 61040364531.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2856222 + ... + 2903261.

It is an arithmetic number, because the mean of its divisors is an integer number (3447051174).

Almost surely, 2135463040160 is an apocalyptic number.

135463040160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135463040160 is an abundant number, since it is smaller than the sum of its proper divisors (360912328896).

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

135463040160 is a wasteful number, since it uses less digits than its factorization.

135463040160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5759515 (or 5759500 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The spelling of 135463040160 in words is "one hundred thirty-five billion, four hundred sixty-three million, forty thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 49 56 60 70 80 84 96 98 105 112 120 140 147 160 168 196 210 224 240 245 280 294 336 392 420 480 490 560 588 672 735 784 840 980 1120 1176 1470 1568 1680 1960 2352 2940 3360 3920 4704 5880 7840 11760 23520 5759483 11518966 17278449 23037932 28797415 34556898 40316381 46075864 57594830 69113796 80632762 86392245 92151728 115189660 120949143 138227592 161265524 172784490 184303456 201581905 230379320 241898286 276455184 282214667 322531048 345568980 403163810 460758640 483796572 552910368 564429334 604745715 645062096 691137960 806327620 846644001 921517280 967593144 1128858668 1209491430 1290124192 1382275920 1411073335 1612655240 1693288002 1935186288 2257717336 2418982860 2764551840 2822146670 3225310480 3386576004 3870372576 4233220005 4515434672 4837965720 5644293340 6450620960 6773152008 8466440010 9030869344 9675931440 11288586680 13546304016 16932880020 19351862880 22577173360 27092608032 33865760040 45154346720 67731520080 135463040160