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14669288262054 = 23219307859162649
BaseRepresentation
bin1101010101110111010110…
…1101110100100110100110
31220221100222220212102012200
43111131311231310212212
53410320200243341204
651110551125155330
73042551431615356
oct325356555644646
956840886772180
1014669288262054
114746234883a78
12178b00ab5bb46
13825400739a8a
14389dd69b6b66
151a68adb3b539
hexd5775b749a6

14669288262054 has 96 divisors (see below), whose sum is σ = 33604530960000. Its totient is φ = 4611913967232.

The previous prime is 14669288262017. The next prime is 14669288262077. The reversal of 14669288262054 is 45026288296641.

14669288262054 is a `hidden beast` number, since 1 + 46 + 6 + 9 + 288 + 262 + 0 + 54 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 14669288261982 and 14669288262000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 90108522 + ... + 90271170.

It is an arithmetic number, because the mean of its divisors is an integer number (350047197500).

Almost surely, 214669288262054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14669288262054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16802265480000).

14669288262054 is an abundant number, since it is smaller than the sum of its proper divisors (18935242697946).

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

14669288262054 is a wasteful number, since it uses less digits than its factorization.

14669288262054 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163842 (or 163839 counting only the distinct ones).

The product of its (nonzero) digits is 79626240, while the sum is 63.

The spelling of 14669288262054 in words is "fourteen trillion, six hundred sixty-nine billion, two hundred eighty-eight million, two hundred sixty-two thousand, fifty-four".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 307 342 614 859 921 1718 1842 2577 2763 5154 5526 5833 7731 11666 15462 16321 17499 32642 34998 48963 52497 97926 104994 146889 162649 263713 293778 325298 487947 527426 791139 975894 1463841 1582278 2373417 2927682 3090331 4746834 5010547 6180662 9270993 10021094 15031641 18541986 27812979 30063282 45094923 49933243 55625958 90189846 99866486 139715491 149799729 279430982 299599458 419146473 449399187 838292946 898798374 948731617 1257439419 1897463234 2514878838 2654594329 2846194851 5309188658 5692389702 7963782987 8538584553 15927565974 17077169106 23891348961 42892655737 47782697922 85785311474 128677967211 257355934422 386033901633 772067803266 814960459003 1629920918006 2444881377009 4889762754018 7334644131027 14669288262054