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41534453004525 = 325213197229314761
BaseRepresentation
bin10010111000110011111100…
…10100010011100011101101
312110001122200102222010020200
421130121332110103203231
520421000024432121100
6224200355253304113
711514523315266435
oct1134317624234355
9173048612863220
1041534453004525
1112263731a13718
1247a97a4335039
131a238b37a6c80
14a383c77452c5
154c0616ae8e00
hex25c67e5138ed

41534453004525 has 144 divisors (see below), whose sum is σ = 80873903270160. Its totient is φ = 20255032627200.

The previous prime is 41534453004509. The next prime is 41534453004533. The reversal of 41534453004525 is 52540035443514.

41534453004525 is a `hidden beast` number, since 4 + 1 + 53 + 4 + 4 + 530 + 0 + 45 + 25 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 3226201522569 + 38308251481956 = 1796163^2 + 6189366^2 .

It is not a de Polignac number, because 41534453004525 - 24 = 41534453004509 is a prime.

It is a super-2 number, since 2×415344530045252 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 131798145 + ... + 132112905.

It is an arithmetic number, because the mean of its divisors is an integer number (561624328265).

Almost surely, 241534453004525 is an apocalyptic number.

41534453004525 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

41534453004525 is a deficient number, since it is larger than the sum of its proper divisors (39339450265635).

41534453004525 is a wasteful number, since it uses less digits than its factorization.

41534453004525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315216 (or 315208 counting only the distinct ones).

The product of its (nonzero) digits is 2880000, while the sum is 45.

The spelling of 41534453004525 in words is "forty-one trillion, five hundred thirty-four billion, four hundred fifty-three million, four thousand, five hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 39 45 65 75 117 195 197 225 229 325 585 591 687 975 985 1145 1773 2061 2561 2925 2955 2977 3435 4925 5725 7683 8865 8931 10305 12805 14775 14885 17175 23049 26793 38415 44325 44655 45113 51525 64025 74425 115245 133965 135339 192075 223275 225565 314761 406017 576225 586469 669825 676695 944283 1127825 1573805 1759407 2030085 2832849 2932345 3383475 4091893 4721415 5278221 7869025 8797035 10150425 12275679 14164245 14661725 20459465 23607075 26391105 36827037 43985175 61378395 62007917 70821225 72080269 102297325 131955525 184135185 186023751 216240807 306891975 310039585 360401345 558071253 648722421 806102921 920675925 930118755 937043497 1081204035 1550197925 1802006725 2418308763 2790356265 2811130491 3243612105 4030514605 4650593775 4685217485 5406020175 7254926289 8433391473 12091543815 13951781325 14055652455 14199812993 16218060525 20152573025 23426087425 36274631445 42166957365 42599438979 60457719075 70278262275 70999064965 127798316937 181373157225 184597568909 210834786825 212997194895 354995324825 553792706727 638991584685 922987844545 1064985974475 1661378120181 2768963533635 3194957923425 4614939222725 8306890600905 13844817668175 41534453004525