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213446230063650 = 2325227711291516709
BaseRepresentation
bin110000100010000011010010…
…101110001011101000100010
31000222202021000202201112000100
4300202003102232023220202
5210434100334344014100
62033543502221003230
762646660363126003
oct6042032256135042
91028667022645010
10213446230063650
1162013046380511
121bb333866b3516
139213b7c285b7c
143a9cbd19951aa
1519a235da36400
hexc220d2b8ba22

213446230063650 has 144 divisors (see below), whose sum is σ = 576039268794600. Its totient is φ = 56663240186880.

The previous prime is 213446230063559. The next prime is 213446230063663. The reversal of 213446230063650 is 56360032644312.

213446230063650 is a `hidden beast` number, since 2 + 1 + 3 + 4 + 4 + 6 + 2 + 3 + 0 + 0 + 636 + 5 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 6735535374681 + 206710694688969 = 2595291^2 + 14377437^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 213446230063596 and 213446230063605.

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 71 ways as a sum of consecutive naturals, for example, 139971496 + ... + 141488204.

Almost surely, 2213446230063650 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213446230063650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288019634397300).

213446230063650 is an abundant number, since it is smaller than the sum of its proper divisors (362593038730950).

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

213446230063650 is a wasteful number, since it uses less digits than its factorization.

213446230063650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1518133 (or 1518125 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 45.

The spelling of 213446230063650 in words is "two hundred thirteen trillion, four hundred forty-six billion, two hundred thirty million, sixty-three thousand, six hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 277 450 554 831 1129 1385 1662 2258 2493 2770 3387 4155 4986 5645 6774 6925 8310 10161 11290 12465 13850 16935 20322 20775 24930 28225 33870 41550 50805 56450 62325 84675 101610 124650 169350 254025 312733 508050 625466 938199 1516709 1563665 1876398 2814597 3033418 3127330 4550127 4690995 5629194 7583545 7818325 9100254 9381990 13650381 14072985 15167090 15636650 22750635 23454975 27300762 28145970 37917725 45501270 46909950 68251905 70364925 75835450 113753175 136503810 140729850 227506350 341259525 420128393 682519050 840256786 1260385179 1712364461 2100641965 2520770358 3424728922 3781155537 4201283930 5137093383 6301925895 7562311074 8561822305 10274186766 10503209825 12603851790 15411280149 17123644610 18905777685 21006419650 25685466915 30822560298 31509629475 37811555370 42809111525 51370933830 63019258950 77056400745 85618223050 94528888425 128427334575 154112801490 189057776850 256854669150 385282003725 474324955697 770564007450 948649911394 1422974867091 2371624778485 2845949734182 4268924601273 4743249556970 7114874335455 8537849202546 11858123892425 14229748670910 21344623006365 23716247784850 35574371677275 42689246012730 71148743354550 106723115031825 213446230063650