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14666912256688 = 2419273151123021
BaseRepresentation
bin1101010101101110100000…
…0110000101001010110000
31220221010212022222211120221
43111123220012011022300
53410300314014203223
651105515251142424
73042435521116126
oct325335006051260
956833768884527
1014666912256688
11474522566aa7a
12178a6672a4a14
13825112402843
14389c4d201916
151a67c0254b5d
hexd56e81852b0

14666912256688 has 120 divisors (see below), whose sum is σ = 30423784065696. Its totient is φ = 6847481318400.

The previous prime is 14666912256683. The next prime is 14666912256691. The reversal of 14666912256688 is 88665221966641.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (14666912256683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 637098618 + ... + 637121638.

Almost surely, 214666912256688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14666912256688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15211892032848).

14666912256688 is an abundant number, since it is smaller than the sum of its proper divisors (15756871809008).

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

14666912256688 is a wasteful number, since it uses less digits than its factorization.

14666912256688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24651 (or 24626 counting only the distinct ones).

The product of its digits is 358318080, while the sum is 70.

The spelling of 14666912256688 in words is "fourteen trillion, six hundred sixty-six billion, nine hundred twelve million, two hundred fifty-six thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 16 19 38 73 76 146 152 292 304 361 584 722 1168 1387 1444 1511 2774 2888 3022 5548 5776 6044 11096 12088 22192 23021 24176 26353 28709 46042 52706 57418 92084 105412 110303 114836 184168 210824 220606 229672 368336 421648 437399 441212 459344 545471 874798 882424 1090942 1680533 1749596 1764848 2095757 2181884 3361066 3499192 4191514 4363768 6722132 6998384 8310581 8383028 8727536 13444264 16621162 16766056 26888528 31930127 33242324 33532112 34784731 39819383 63860254 66484648 69569462 79638766 127720508 132969296 139138924 159277532 255441016 278277848 318555064 510882032 556555696 606672413 637110128 660909889 1213344826 1321819778 2426689652 2539285363 2643639556 4853379304 5078570726 5287279112 9706758608 10157141452 10574558224 12557287891 20314282904 25114575782 40628565808 48246421897 50229151564 96492843794 100458303128 192985687588 200916606256 385971375176 771942750352 916682016043 1833364032086 3666728064172 7333456128344 14666912256688