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13381208145186 = 237259947814603
BaseRepresentation
bin1100001010111000111000…
…1010000111110100100010
31202101020020101212202122120
43002232032022013310202
53223214203241121221
644243124150045110
72550521545356600
oct302561612076442
952336211782576
1013381208145186
114299a36172472
12160144b649796
13760ac500582b
14343922552870
1518312140d5c6
hexc2b8e287d22

13381208145186 has 96 divisors (see below), whose sum is σ = 31692918055680. Its totient is φ = 3754428933024.

The previous prime is 13381208145103. The next prime is 13381208145199. The reversal of 13381208145186 is 68154180218331.

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, 16019361 + ... + 16833963.

It is an arithmetic number, because the mean of its divisors is an integer number (330134563080).

Almost surely, 213381208145186 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13381208145186, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15846459027840).

13381208145186 is an abundant number, since it is smaller than the sum of its proper divisors (18311709910494).

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

13381208145186 is a wasteful number, since it uses less digits than its factorization.

13381208145186 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 815628 (or 815621 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 51.

The spelling of 13381208145186 in words is "thirteen trillion, three hundred eighty-one billion, two hundred eight million, one hundred forty-five thousand, one hundred eighty-six".

Divisors: 1 2 3 6 7 14 21 42 49 59 98 118 147 177 294 354 413 826 947 1239 1894 2478 2841 2891 5682 5782 6629 8673 13258 17346 19887 39774 46403 55873 92806 111746 139209 167619 278418 335238 391111 782222 814603 1173333 1629206 2346666 2443809 2737777 4887618 5475554 5702221 8213331 11404442 16426662 17106663 34213326 39915547 48061577 79831094 96123154 119746641 144184731 239493282 288369462 336431039 672862078 771429041 1009293117 1542858082 2018586234 2314287123 2355017273 4628574246 4710034546 5400003287 7065051819 10800006574 14130103638 16200009861 32400019722 37800023009 45514313419 75600046018 91028626838 113400069027 136542940257 226800138054 273085880514 318600193933 637200387866 955800581799 1911601163598 2230201357531 4460402715062 6690604072593 13381208145186