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13306436143650 = 232521311092051041
BaseRepresentation
bin1100000110100010010101…
…1001100100101000100010
31202010002020102011112022100
43001220211121210220202
53221003040123044100
644144520430351230
72542233615011166
oct301504531445042
952102212145270
1013306436143650
114270256339a81
1215aaa6265b516
13756a3a03a840
1434006bc68ca6
151811e6dd1400
hexc1a25664a22

13306436143650 has 144 divisors (see below), whose sum is σ = 38534689950120. Its totient is φ = 3272475340800.

The previous prime is 13306436143643. The next prime is 13306436143681. The reversal of 13306436143650 is 5634163460331.

It is a happy number.

13306436143650 is a `hidden beast` number, since 13 + 3 + 0 + 6 + 436 + 143 + 65 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 1648725336729 + 11657710806921 = 1284027^2 + 3414339^2 .

It is a super-2 number, since 2×133064361436502 (a number of 27 digits) contains 22 as substring.

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 = 13306436143596 and 13306436143605.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5462130 + ... + 7513170.

Almost surely, 213306436143650 is an apocalyptic number.

13306436143650 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 13306436143650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19267344975060).

13306436143650 is an abundant number, since it is smaller than the sum of its proper divisors (25228253806470).

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

13306436143650 is a wasteful number, since it uses less digits than its factorization.

13306436143650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2052181 (or 2052173 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 45.

The spelling of 13306436143650 in words is "thirteen trillion, three hundred six billion, four hundred thirty-six million, one hundred forty-three thousand, six hundred fifty".

Divisors: 1 2 3 5 6 9 10 13 15 18 25 26 30 39 45 50 65 75 78 90 117 130 150 195 225 234 325 390 450 585 650 975 1109 1170 1950 2218 2925 3327 5545 5850 6654 9981 11090 14417 16635 19962 27725 28834 33270 43251 49905 55450 72085 83175 86502 99810 129753 144170 166350 216255 249525 259506 360425 432510 499050 648765 720850 1081275 1297530 2051041 2162550 3243825 4102082 6153123 6487650 10255205 12306246 18459369 20510410 26663533 30765615 36918738 51276025 53327066 61531230 79990599 92296845 102552050 133317665 153828075 159981198 184593690 239971797 266635330 307656150 399952995 461484225 479943594 666588325 799905990 922968450 1199858985 1333176650 1999764975 2274604469 2399717970 3999529950 4549208938 5999294925 6823813407 11373022345 11998589850 13647626814 20471440221 22746044690 29569858097 34119067035 40942880442 56865111725 59139716194 68238134070 88709574291 102357201105 113730223450 147849290485 170595335175 177419148582 204714402210 266128722873 295698580970 341190670350 443547871455 511786005525 532257445746 739246452425 887095742910 1023572011050 1330643614365 1478492904850 2217739357275 2661287228730 4435478714550 6653218071825 13306436143650