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14105574879533 = 2912293863102451
BaseRepresentation
bin1100110101000011010111…
…0001111011000100101101
31211221110221202200112000222
43031100311301323010231
53322101204132121113
650000002303101125
72654044203126134
oct315206561730455
954843852615028
1014105574879533
114549160319245
1216b99085a17a5
137b41c4733b77
1436a9dba7891b
15196db9798e08
hexcd435c7b12d

14105574879533 has 16 divisors (see below), whose sum is σ = 14607770083200. Its totient is φ = 13604438769600.

The previous prime is 14105574879493. The next prime is 14105574879559. The reversal of 14105574879533 is 33597847550141.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-14105574879533 is a prime.

It is a super-3 number, since 3×141055748795333 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14105574819533) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 137629958 + ... + 137732408.

It is an arithmetic number, because the mean of its divisors is an integer number (912985630200).

Almost surely, 214105574879533 is an apocalyptic number.

It is an amenable number.

14105574879533 is a deficient number, since it is larger than the sum of its proper divisors (502195203667).

14105574879533 is a wasteful number, since it uses less digits than its factorization.

14105574879533 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107572.

The product of its (nonzero) digits is 63504000, while the sum is 62.

The spelling of 14105574879533 in words is "fourteen trillion, one hundred five billion, five hundred seventy-four million, eight hundred seventy-nine thousand, five hundred thirty-three".

Divisors: 1 29 1229 3863 35641 102451 112027 2971079 4747627 125912279 137681183 395768213 3651456091 11477278177 486399133777 14105574879533