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13660405036242 = 231719103137499519
BaseRepresentation
bin1100011011001000111110…
…0101101111010011010010
31210100220220010002100210020
43012302033211233103102
53242303002142124432
645015300424244310
72606634366652656
oct306621745572322
953326803070706
1013660405036242
114397388576048
12164758a010696
1378122ac58803
1435324a874a66
1518a5125b322c
hexc6c8f96f4d2

13660405036242 has 128 divisors (see below), whose sum is σ = 30970559692800. Its totient is φ = 3991284688896.

The previous prime is 13660405036211. The next prime is 13660405036253. The reversal of 13660405036242 is 24263050406631.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 13660405036194 and 13660405036203.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27097359 + ... + 27596877.

It is an arithmetic number, because the mean of its divisors is an integer number (241957497600).

Almost surely, 213660405036242 is an apocalyptic number.

13660405036242 is an abundant number, since it is smaller than the sum of its proper divisors (17310154656558).

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

13660405036242 is a wasteful number, since it uses less digits than its factorization.

13660405036242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499800.

The product of its (nonzero) digits is 622080, while the sum is 42.

The spelling of 13660405036242 in words is "thirteen trillion, six hundred sixty billion, four hundred five million, thirty-six thousand, two hundred forty-two".

Divisors: 1 2 3 6 17 19 34 38 51 57 102 103 114 137 206 274 309 323 411 618 646 822 969 1751 1938 1957 2329 2603 3502 3914 4658 5206 5253 5871 6987 7809 10506 11742 13974 14111 15618 28222 33269 42333 44251 66538 84666 88502 99807 132753 199614 239887 265506 268109 479774 499519 536218 719661 804327 999038 1439322 1498557 1608654 2997114 4557853 8491823 9115706 9490861 13673559 16983646 18981722 25475469 27347118 28472583 50950938 51450457 56945166 68434103 102900914 136868206 154351371 161344637 205302309 308702742 322689274 410604618 484033911 874657769 968067822 977558683 1163379751 1300247957 1749315538 1955117366 2326759502 2600495914 2623973307 2932676049 3490139253 3900743871 5247946614 5865352098 6980278506 7048712609 7801487742 14097425218 16618497611 21146137827 22104215269 33236995222 42292275654 44208430538 49855492833 66312645807 99710985666 119828114353 132625291614 133925539571 239656228706 267851079142 359484343059 401776618713 718968686118 803553237426 2276734172707 4553468345414 6830202518121 13660405036242