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13746853351128 = 23323229731084043
BaseRepresentation
bin1100100000001011000001…
…0011111000111011011000
31210200012000211211202212110
43020002300103320323120
53300212023424214003
645123114531512320
72616114561343302
oct310026023707330
953605024752773
1013746853351128
11442000a378587
1216602954586a0
13789426cb6061
143574cbb9c972
1518c8c1c23a03
hexc80b04f8ed8

13746853351128 has 64 divisors (see below), whose sum is σ = 35862950672640. Its totient is φ = 4382859857024.

The previous prime is 13746853351093. The next prime is 13746853351141. The reversal of 13746853351128 is 82115335864731.

It is a happy number.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 12139075 + ... + 13223117.

It is an arithmetic number, because the mean of its divisors is an integer number (560358604260).

Almost surely, 213746853351128 is an apocalyptic number.

It is an amenable number.

13746853351128 is an abundant number, since it is smaller than the sum of its proper divisors (22116097321512).

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

13746853351128 is a wasteful number, since it uses less digits than its factorization.

13746853351128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1107048 (or 1107044 counting only the distinct ones).

The product of its digits is 14515200, while the sum is 57.

The spelling of 13746853351128 in words is "thirteen trillion, seven hundred forty-six billion, eight hundred fifty-three million, three hundred fifty-one thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 276 552 22973 45946 68919 91892 137838 183784 275676 528379 551352 1056758 1084043 1585137 2113516 2168086 3170274 3252129 4227032 4336172 6340548 6504258 8672344 12681096 13008516 24932989 26017032 49865978 74798967 99731956 149597934 199463912 299195868 598391736 24903719839 49807439678 74711159517 99614879356 149422319034 199229758712 298844638068 572785556297 597689276136 1145571112594 1718356668891 2291142225188 3436713337782 4582284450376 6873426675564 13746853351128