Search a number
-
+
10451355053220 = 223251289354112721
BaseRepresentation
bin1001100000010110010101…
…0011100010110010100100
31101000010202220101122000100
42120011211103202302210
52332213333343200340
634121141454144100
72126041215113454
oct230054523426244
941003686348010
1010451355053220
11336a438508a64
1212096617b2030
135aa7351a8a03
14281bc3993d64
15131ce5148830
hex981654e2ca4

10451355053220 has 144 divisors (see below), whose sum is σ = 31738492946160. Its totient is φ = 2783860531200.

The previous prime is 10451355053213. The next prime is 10451355053263. The reversal of 10451355053220 is 2235055315401.

10451355053220 is a `hidden beast` number, since 1 + 0 + 4 + 51 + 3 + 5 + 50 + 532 + 20 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 746734483044 + 9704620570176 = 864138^2 + 3115224^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 821576460 + ... + 821589180.

It is an arithmetic number, because the mean of its divisors is an integer number (220406201015).

Almost surely, 210451355053220 is an apocalyptic number.

10451355053220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10451355053220 is an abundant number, since it is smaller than the sum of its proper divisors (21287137892940).

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

10451355053220 is a wasteful number, since it uses less digits than its factorization.

10451355053220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17566 (or 17561 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The spelling of 10451355053220 in words is "ten trillion, four hundred fifty-one billion, three hundred fifty-five million, fifty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1289 2578 3541 3867 5156 6445 7082 7734 10623 11601 12721 12890 14164 15468 17705 19335 21246 23202 25442 25780 31869 35410 38163 38670 42492 46404 50884 53115 58005 63605 63738 70820 76326 77340 106230 114489 116010 127210 127476 152652 159345 190815 212460 228978 232020 254420 318690 381630 457956 572445 637380 763260 1144890 2289780 4564349 9128698 13693047 16397369 18257396 22821745 27386094 32794738 41079141 45045061 45643490 49192107 54772188 65589476 68465235 81986845 82158282 90090122 91286980 98384214 135135183 136930470 147576321 163973690 164316564 180180244 196768428 205395705 225225305 245960535 270270366 273860940 295152642 327947380 405405549 410791410 450450610 491921070 540540732 590305284 675675915 737881605 810811098 821582820 900901220 983842140 1351351830 1475763210 1621622196 2027027745 2702703660 2951526420 4054055490 8108110980 58063083629 116126167258 174189250887 232252334516 290315418145 348378501774 522567752661 580630836290 696757003548 870946254435 1045135505322 1161261672580 1741892508870 2090271010644 2612838763305 3483785017740 5225677526610 10451355053220