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13686194024448 = 212311101253211
BaseRepresentation
bin1100011100101001000010…
…1110111011000000000000
31210110101110101121200221120
43013022100232323000000
53243213311132240243
645035203431552240
72611536434515341
oct307122056730000
953411411550846
1013686194024448
1143a7311801640
12165058682b680
137837aaa8a94a
143545b591c0c8
1518b021684c83
hexc7290bbb000

13686194024448 has 104 divisors (see below), whose sum is σ = 39809522855616. Its totient is φ = 4147331481600.

The previous prime is 13686194024443. The next prime is 13686194024471. The reversal of 13686194024448 is 84442049168631.

It is a super-2 number, since 2×136861940244482 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13686194024391 and 13686194024400.

It is not an unprimeable number, because it can be changed into a prime (13686194024443) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 50491438 + ... + 50761773.

Almost surely, 213686194024448 is an apocalyptic number.

It is an amenable number.

13686194024448 is an abundant number, since it is smaller than the sum of its proper divisors (26123328831168).

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

13686194024448 is a wasteful number, since it uses less digits than its factorization.

13686194024448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101253249 (or 101253227 counting only the distinct ones).

The product of its (nonzero) digits is 31850496, while the sum is 60.

The spelling of 13686194024448 in words is "thirteen trillion, six hundred eighty-six billion, one hundred ninety-four million, twenty-four thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 512 528 704 768 1024 1056 1408 1536 2048 2112 2816 3072 4096 4224 5632 6144 8448 11264 12288 16896 22528 33792 45056 67584 135168 101253211 202506422 303759633 405012844 607519266 810025688 1113785321 1215038532 1620051376 2227570642 2430077064 3240102752 3341355963 4455141284 4860154128 6480205504 6682711926 8910282568 9720308256 12960411008 13365423852 17820565136 19440616512 25920822016 26730847704 35641130272 38881233024 51841644032 53461695408 71282260544 77762466048 103683288064 106923390816 142564521088 155524932096 207366576128 213846781632 285129042176 311049864192 414733152256 427693563264 570258084352 622099728384 855387126528 1140516168704 1244199456768 1710774253056 2281032337408 3421548506112 4562064674816 6843097012224 13686194024448