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13507673471250 = 235474011283237
BaseRepresentation
bin1100010010010000000000…
…0101000011100100010010
31202211022122222200222011220
43010210000011003210102
53232302203402040000
644421201200545510
72562616512041250
oct304440005034422
952738588628156
1013507673471250
114338632591772
121621a64622296
1376c9ca7c050a
14349abc3d55d0
15186573cb61a0
hexc4900143912

13507673471250 has 160 divisors (see below), whose sum is σ = 38677245019776. Its totient is φ = 3079766400000.

The previous prime is 13507673471249. The next prime is 13507673471267. The reversal of 13507673471250 is 5217437670531.

It is a super-2 number, since 2×135076734712502 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13507673471193 and 13507673471202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9884632 + ... + 11167868.

Almost surely, 213507673471250 is an apocalyptic number.

13507673471250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13507673471250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19338622509888).

13507673471250 is an abundant number, since it is smaller than the sum of its proper divisors (25169571548526).

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

13507673471250 is a wasteful number, since it uses less digits than its factorization.

13507673471250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1283670 (or 1283655 counting only the distinct ones).

The product of its (nonzero) digits is 3704400, while the sum is 51.

The spelling of 13507673471250 in words is "thirteen trillion, five hundred seven billion, six hundred seventy-three million, four hundred seventy-one thousand, two hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 70 75 105 125 150 175 210 250 350 375 401 525 625 750 802 875 1050 1203 1250 1750 1875 2005 2406 2625 2807 3750 4010 4375 5250 5614 6015 8421 8750 10025 12030 13125 14035 16842 20050 26250 28070 30075 42105 50125 60150 70175 84210 100250 140350 150375 210525 250625 300750 350875 421050 501250 701750 751875 1052625 1283237 1503750 1754375 2105250 2566474 3508750 3849711 5263125 6416185 7699422 8982659 10526250 12832370 17965318 19248555 26947977 32080925 38497110 44913295 53895954 64161850 89826590 96242775 134739885 160404625 192485550 224566475 269479770 320809250 449132950 481213875 514578037 673699425 802023125 962427750 1029156074 1122832375 1347398850 1543734111 1604046250 2245664750 2406069375 2572890185 3087468222 3368497125 3602046259 4812138750 5145780370 5614161875 6736994250 7204092518 7718670555 10806138777 11228323750 12864450925 15437341110 16842485625 18010231295 21612277554 25728901850 33684971250 36020462590 38593352775 54030693885 64322254625 77186705550 90051156475 108061387770 128644509250 180102312950 192966763875 270153469425 321611273125 385933527750 450255782375 540306938850 643222546250 900511564750 964833819375 1350767347125 1929667638750 2251278911875 2701534694250 4502557823750 6753836735625 13507673471250