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135515768520 = 233511859911939
BaseRepresentation
bin111111000110101011…
…1101000011011001000
3110221210022211022120210
41332031113220123020
54210014014043040
6142131033121120
712535131012066
oct1761527503310
9427708738523
10135515768520
1152521133710
122231bb591a0
13ca188498a2
1467b7c69036
1537d21ea480
hex1f8d5e86c8

135515768520 has 128 divisors (see below), whose sum is σ = 443594880000. Its totient is φ = 32845735680.

The previous prime is 135515768491. The next prime is 135515768533. The reversal of 135515768520 is 25867515531.

It is a self number, because there is not a number n which added to its sum of digits gives 135515768520.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11344711 + ... + 11356649.

It is an arithmetic number, because the mean of its divisors is an integer number (3465585000).

Almost surely, 2135515768520 is an apocalyptic number.

135515768520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135515768520 is an abundant number, since it is smaller than the sum of its proper divisors (308079111480).

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

135515768520 is a wasteful number, since it uses less digits than its factorization.

135515768520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20563 (or 20559 counting only the distinct ones).

The product of its (nonzero) digits is 1260000, while the sum is 48.

The spelling of 135515768520 in words is "one hundred thirty-five billion, five hundred fifteen million, seven hundred sixty-eight thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 8599 11939 17198 23878 25797 34396 35817 42995 47756 51594 59695 68792 71634 85990 94589 95512 103188 119390 128985 131329 143268 171980 179085 189178 206376 238780 257970 262658 283767 286536 343960 358170 378356 393987 472945 477560 515940 525316 567534 656645 716340 756712 787974 945890 1031880 1050632 1135068 1313290 1418835 1432680 1575948 1891780 1969935 2270136 2626580 2837670 3151896 3783560 3939870 5253160 5675340 7879740 11350680 15759480 102663461 205326922 307990383 410653844 513317305 615980766 821307688 1026634610 1129298071 1231961532 1539951915 2053269220 2258596142 2463923064 3079903830 3387894213 4106538440 4517192284 5646490355 6159807660 6775788426 9034384568 11292980710 12319615320 13551576852 16939471065 22585961420 27103153704 33878942130 45171922840 67757884260 135515768520