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13825069806835 = 5759109552711113
BaseRepresentation
bin1100100100101110011001…
…0111111111010011110011
31210221122220212220102001101
43021023212113333103303
53303002220332304320
645223052133545231
72624554055265310
oct311134627772363
953848825812041
1013825069806835
1144501a753a411
121673483aa5217
1379391076cc01
1435b1cbb05d07
1518e94d839c0a
hexc92e65ff4f3

13825069806835 has 64 divisors (see below), whose sum is σ = 19463619225600. Its totient is φ = 9231368850432.

The previous prime is 13825069806833. The next prime is 13825069806923. The reversal of 13825069806835 is 53860896052831.

It is a cyclic number.

It is not a de Polignac number, because 13825069806835 - 21 = 13825069806833 is a prime.

It is a super-2 number, since 2×138250698068352 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13825069806833) 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, 1244039239 + ... + 1244050351.

It is an arithmetic number, because the mean of its divisors is an integer number (304119050400).

Almost surely, 213825069806835 is an apocalyptic number.

13825069806835 is a deficient number, since it is larger than the sum of its proper divisors (5638549418765).

13825069806835 is a wasteful number, since it uses less digits than its factorization.

13825069806835 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16820.

The product of its (nonzero) digits is 74649600, while the sum is 64.

The spelling of 13825069806835 in words is "thirteen trillion, eight hundred twenty-five billion, sixty-nine million, eight hundred six thousand, eight hundred thirty-five".

Divisors: 1 5 7 35 59 109 295 413 545 763 2065 3815 5527 6431 11113 27635 32155 38689 45017 55565 77791 193445 225085 326093 388955 602443 655667 1211317 1630465 2282651 3012215 3278335 4217101 4589669 6056585 8479219 11413255 21085505 22948345 35544137 42396095 61421551 71467703 177720685 248808959 307107755 357338515 429950857 500273921 1244044795 2149754285 2501369605 3623871509 6694949059 18119357545 25367100563 33474745295 46864643413 126835502815 234323217065 395001994481 1975009972405 2765013961367 13825069806835