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12537659657348 = 2272233122894071
BaseRepresentation
bin1011011001110010011011…
…0000000000110010000100
31122101120220001120121221222
42312130212300000302010
53120404111333013343
642355415450255512
72432546615465300
oct266344660006204
948346801517858
1012537659657348
113aa4212025261
1214a5a70a27598
136cc3b0a91277
14314b7c63cd00
1516b1eed4aa68
hexb6726c00c84

12537659657348 has 108 divisors (see below), whose sum is σ = 27519638037696. Its totient is φ = 4973864464800.

The previous prime is 12537659657333. The next prime is 12537659657377. The reversal of 12537659657348 is 84375695673521.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2885153 + ... + 5779223.

It is an arithmetic number, because the mean of its divisors is an integer number (254811463312).

Almost surely, 212537659657348 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 12537659657348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13759819018848).

12537659657348 is an abundant number, since it is smaller than the sum of its proper divisors (14981978380348).

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

12537659657348 is a wasteful number, since it uses less digits than its factorization.

12537659657348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2894174 (or 2894134 counting only the distinct ones).

The product of its digits is 1143072000, while the sum is 71.

The spelling of 12537659657348 in words is "twelve trillion, five hundred thirty-seven billion, six hundred fifty-nine million, six hundred fifty-seven thousand, three hundred forty-eight".

Divisors: 1 2 4 7 14 23 28 31 46 49 62 92 98 124 161 196 217 322 434 644 713 868 961 1127 1426 1519 1922 2254 2852 3038 3844 4508 4991 6076 6727 9982 13454 19964 22103 26908 34937 44206 47089 69874 88412 94178 139748 154721 188356 309442 618884 1083047 2166094 2894071 4332188 5788142 11576284 20258497 40516994 66563633 81033988 89716201 133127266 141809479 179432402 266254532 283618958 358864804 465945431 567237916 628013407 931890862 1256026814 1863781724 2063472623 2512053628 2781202231 3261618017 4126945246 4396093849 5562404462 6523236034 8253890492 8792187698 11124808924 13046472068 14444308361 17584375396 19468415617 28888616722 38936831234 57777233444 63967651313 77873662468 101110158527 127935302626 136278909319 202220317054 255870605252 272557818638 404440634108 447773559191 545115637276 895547118382 1791094236764 3134414914337 6268829828674 12537659657348