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13900125460575 = 3524735923774621
BaseRepresentation
bin1100101001000110000000…
…0010100101100001011111
31211012211122122100200001210
43022101200002211201133
53310214424104214300
645321343545035503
72633152031645244
oct312214002454137
954184578320053
1013900125460575
11447a0124a0a12
121685b2ba85b93
1379aa12430a43
14360aabd495cb
15191892be7050
hexca4600a585f

13900125460575 has 96 divisors (see below), whose sum is σ = 23550884075520. Its totient is φ = 7230848486400.

The previous prime is 13900125460549. The next prime is 13900125460579. The reversal of 13900125460575 is 57506452100931.

It is not a de Polignac number, because 13900125460575 - 26 = 13900125460511 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13900125460579) 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, 3008031765 + ... + 3008036385.

It is an arithmetic number, because the mean of its divisors is an integer number (245321709120).

Almost surely, 213900125460575 is an apocalyptic number.

13900125460575 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13900125460575 is a deficient number, since it is larger than the sum of its proper divisors (9650758614945).

13900125460575 is a wasteful number, since it uses less digits than its factorization.

13900125460575 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7417 (or 7412 counting only the distinct ones).

The product of its (nonzero) digits is 1134000, while the sum is 48.

The spelling of 13900125460575 in words is "thirteen trillion, nine hundred billion, one hundred twenty-five million, four hundred sixty thousand, five hundred seventy-five".

Divisors: 1 3 5 15 25 47 75 141 235 359 705 1077 1175 1795 2377 3525 4621 5385 7131 8975 11885 13863 16873 23105 26925 35655 50619 59425 69315 84365 111719 115525 178275 217187 253095 335157 346575 421825 558595 651561 853343 1085935 1265475 1658939 1675785 2560029 2792975 3257805 4266715 4976817 5429675 8294695 8378925 10984117 12800145 16289025 21333575 24884085 32952351 40107121 41473475 54920585 64000725 77970133 120321363 124420425 164761755 200535605 233910399 274602925 389850665 516253499 601606815 823808775 1002678025 1169551995 1548760497 1949253325 2581267495 3008034075 3943298003 5847759975 7743802485 11829894009 12906337475 19716490015 38719012425 59149470045 98582450075 185335006141 295747350225 556005018423 926675030705 2780025092115 4633375153525 13900125460575