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14988057783216 = 24371512543116167
BaseRepresentation
bin1101101000011010110111…
…0111000010101110110000
31222001211210111221220120020
43122012231313002232300
53431031020243030331
651513230234243440
73104565021055050
oct332065567025660
958054714856506
1014988057783216
114859443976331
121820952286580
138494a2039c0b
1439b5d6819560
151aed19009c96
hexda1addc2bb0

14988057783216 has 160 divisors (see below), whose sum is σ = 44561405411328. Its totient is φ = 4252233196800.

The previous prime is 14988057783169. The next prime is 14988057783217. The reversal of 14988057783216 is 61238775088941.

It is a super-2 number, since 2×149880577832162 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14988057783217) 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 31 ways as a sum of consecutive naturals, for example, 128963565 + ... + 129079731.

It is a 1-persistent number, because it is pandigital, but 2⋅14988057783216 = 29976115566432 is not.

Almost surely, 214988057783216 is an apocalyptic number.

14988057783216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14988057783216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22280702705664).

14988057783216 is an abundant number, since it is smaller than the sum of its proper divisors (29573347628112).

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

14988057783216 is a wasteful number, since it uses less digits than its factorization.

14988057783216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118879 (or 118873 counting only the distinct ones).

The product of its (nonzero) digits is 162570240, while the sum is 69.

The spelling of 14988057783216 in words is "fourteen trillion, nine hundred eighty-eight billion, fifty-seven million, seven hundred eighty-three thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 151 168 302 336 453 604 906 1057 1208 1812 2114 2416 2543 3171 3624 4228 5086 6342 7248 7629 8456 10172 12684 15258 16912 17801 20344 25368 30516 35602 40688 50736 53403 61032 71204 106806 116167 122064 142408 213612 232334 284816 348501 383993 427224 464668 697002 767986 813169 854448 929336 1151979 1394004 1535972 1626338 1858672 2303958 2439507 2687951 2788008 3071944 3252676 4607916 4879014 5375902 5576016 6143888 6505352 8063853 9215832 9758028 10751804 13010704 16127706 17541217 18431664 19516056 21503608 32255412 35082434 39032112 43007216 52623651 64510824 70164868 105247302 122788519 129021648 140329736 210494604 245577038 280659472 295412681 368365557 420989208 491154076 590825362 736731114 841978416 886238043 982308152 1181650724 1473462228 1772476086 1964616304 2067888767 2363301448 2946924456 3544952172 4135777534 4726602896 5893848912 6203666301 7089904344 8271555068 12407332602 14179808688 16543110136 24814665204 33086220272 44607314831 49629330408 89214629662 99258660816 133821944493 178429259324 267643888986 312251203817 356858518648 535287777972 624502407634 713717037296 936753611451 1070575555944 1249004815268 1873507222902 2141151111888 2498009630536 3747014445804 4996019261072 7494028891608 14988057783216