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13829611378044 = 22371133107452083
BaseRepresentation
bin1100100100111111010100…
…0100101101010101111100
31210222002122101200010112110
43021033311010231111330
53303041021003044134
645225122531334020
72625104443066560
oct311176504552574
953862571603473
1013829611378044
1144521180a4050
121674330a51310
13794185640457
1435b4dcd536a0
1518eb173da7e9
hexc93f512d57c

13829611378044 has 96 divisors (see below), whose sum is σ = 40232900929536. Its totient is φ = 3591990406080.

The previous prime is 13829611378021. The next prime is 13829611378073. The reversal of 13829611378044 is 44087311692831.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30364827 + ... + 30816909.

It is an arithmetic number, because the mean of its divisors is an integer number (419092718016).

Almost surely, 213829611378044 is an apocalyptic number.

13829611378044 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13829611378044 is an abundant number, since it is smaller than the sum of its proper divisors (26403289551492).

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

13829611378044 is a wasteful number, since it uses less digits than its factorization.

13829611378044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485215 (or 485213 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 57.

The spelling of 13829611378044 in words is "thirteen trillion, eight hundred twenty-nine billion, six hundred eleven million, three hundred seventy-eight thousand, forty-four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 462 924 33107 66214 99321 132428 198642 231749 364177 397284 452083 463498 695247 728354 904166 926996 1092531 1356249 1390494 1456708 1808332 2185062 2549239 2712498 2780988 3164581 4370124 4972913 5098478 5424996 6329162 7647717 9493743 9945826 10196956 12658324 14918739 15295434 18987486 19891652 29837478 30590868 34810391 37974972 59674956 69620782 104431173 139241564 208862346 417724692 14967111881 29934223762 44901335643 59868447524 89802671286 104769783167 164638230691 179605342572 209539566334 314309349501 329276461382 419079132668 493914692073 628618699002 658552922764 987829384146 1152467614837 1257237398004 1975658768292 2304935229674 3457402844511 4609870459348 6914805689022 13829611378044