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13463728146063 = 321310921110874603
BaseRepresentation
bin1100001111101100010010…
…1110111100011010001111
31202200010020100211010222100
43003323010232330122033
53231042203401133223
644345052404050143
72556502506661536
oct303730456743217
952603210733870
1013463728146063
114320a315a34a8
12161543b393953
13768816250710
1434790dc6731d
15185350c59043
hexc3ec4bbc68f

13463728146063 has 96 divisors (see below), whose sum is σ = 21260043284480. Its totient is φ = 8161161765120.

The previous prime is 13463728146061. The next prime is 13463728146067. The reversal of 13463728146063 is 36064182736431.

13463728146063 is a `hidden beast` number, since 1 + 3 + 4 + 6 + 3 + 7 + 28 + 1 + 4 + 606 + 3 = 666.

It is not a de Polignac number, because 13463728146063 - 21 = 13463728146061 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13463728146061) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2924987520 + ... + 2924992122.

Almost surely, 213463728146063 is an apocalyptic number.

13463728146063 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

13463728146063 is a deficient number, since it is larger than the sum of its proper divisors (7796315138417).

13463728146063 is a wasteful number, since it uses less digits than its factorization.

13463728146063 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6029 (or 6026 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 54.

The spelling of 13463728146063 in words is "thirteen trillion, four hundred sixty-three billion, seven hundred twenty-eight million, one hundred forty-six thousand, sixty-three".

Divisors: 1 3 9 13 39 109 117 211 327 633 981 1087 1417 1899 2743 3261 4251 4603 8229 9783 12753 13809 14131 22999 24687 41427 42393 59839 68997 118483 127179 179517 206991 229357 298987 355449 501727 538551 688071 896961 971233 1066347 1505181 1540279 2064213 2690883 2913699 2981641 4515543 4620837 5003461 6522451 8741097 8944923 12626029 13862511 15010383 19567353 24999913 26834769 37878087 45031149 58702059 65044993 74999739 105864397 113634261 195134979 224999217 317593191 324998869 545377249 585404937 952779573 974996607 1055730271 1376237161 1636131747 2924989821 3167190813 4128711483 4908395241 7089904237 9501572439 12386134449 13724493523 21269712711 41173480569 63809138133 115074599539 123520441707 345223798617 1035671395851 1495969794007 4487909382021 13463728146063