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13416153300117 = 3337431931618217
BaseRepresentation
bin1100001100111011000100…
…0011010011110010010101
31202111120102210100120022000
43003032301003103302111
53224302240221100432
644311143514025513
72553166533316011
oct303166103236225
952446383316260
1013416153300117
1143028388635a7
121608182718299
137641a3a659b9
143454b9663541
15183eb925857c
hexc33b10d3c95

13416153300117 has 64 divisors (see below), whose sum is σ = 20995925448960. Its totient is φ = 8455942397952.

The previous prime is 13416153300107. The next prime is 13416153300133. The reversal of 13416153300117 is 71100335161431.

13416153300117 is a `hidden beast` number, since 1 + 3 + 4 + 1 + 6 + 1 + 533 + 0 + 0 + 117 = 666.

It is not a de Polignac number, because 13416153300117 - 214 = 13416153283733 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13416153300107) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7481593 + ... + 9099809.

It is an arithmetic number, because the mean of its divisors is an integer number (328061335140).

Almost surely, 213416153300117 is an apocalyptic number.

It is an amenable number.

13416153300117 is a deficient number, since it is larger than the sum of its proper divisors (7579772148843).

13416153300117 is a wasteful number, since it uses less digits than its factorization.

13416153300117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1618499 (or 1618493 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

Adding to 13416153300117 its reverse (71100335161431), we get a palindrome (84516488461548).

The spelling of 13416153300117 in words is "thirteen trillion, four hundred sixteen billion, one hundred fifty-three million, three hundred thousand, one hundred seventeen".

Divisors: 1 3 9 27 37 43 111 129 193 333 387 579 999 1161 1591 1737 4773 5211 7141 8299 14319 21423 24897 42957 64269 74691 192807 224073 307063 921189 1618217 2763567 4854651 8290701 14563953 43691859 59874029 69583331 179622087 208749993 312315881 538866261 626249979 936947643 1616598783 1878749937 2574583247 2810842929 7723749741 8432528787 11555687597 13429582883 23171249223 34667062791 40288748649 69513747669 104001188373 120866245947 312003565119 362598737841 496894566671 1490683700013 4472051100039 13416153300117