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13804262727801 = 3713315330776059
BaseRepresentation
bin1100100011100000111000…
…1011010010000001111001
31210212200012210201021111120
43020320032023102001321
53302132112224242201
645205331334015453
72623216333112310
oct310701613220171
953780183637446
1013804262727801
11444239a484a27
12166b4377a7589
13791975b04220
1435a1b6571277
1518e131ce9536
hexc8e0e2d2079

13804262727801 has 64 divisors (see below), whose sum is σ = 23825102192640. Its totient is φ = 6913533669120.

The previous prime is 13804262727799. The next prime is 13804262727803. The reversal of 13804262727801 is 10872726240831.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13804262727799) and next prime (13804262727803).

It is not a de Polignac number, because 13804262727801 - 21 = 13804262727799 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13804262727803) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 14939491 + ... + 15836568.

It is an arithmetic number, because the mean of its divisors is an integer number (372267221760).

Almost surely, 213804262727801 is an apocalyptic number.

It is an amenable number.

13804262727801 is a deficient number, since it is larger than the sum of its proper divisors (10020839464839).

13804262727801 is a wasteful number, since it uses less digits than its factorization.

13804262727801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30776166.

The product of its (nonzero) digits is 1806336, while the sum is 51.

The spelling of 13804262727801 in words is "thirteen trillion, eight hundred four billion, two hundred sixty-two million, seven hundred twenty-seven thousand, eight hundred one".

Divisors: 1 3 7 13 21 31 39 53 91 93 159 217 273 371 403 651 689 1113 1209 1643 2067 2821 4823 4929 8463 11501 14469 21359 34503 64077 149513 448539 30776059 92328177 215432413 400088767 646297239 954057829 1200266301 1631131127 2800621369 2862173487 4893393381 6678404803 8401864107 11417917889 12402751777 20035214409 21204704651 34253753667 37208255331 50565064937 63614113953 86819262439 148432932557 151695194811 260457787317 353955454559 445298797671 657345844181 1061866363677 1972037532543 4601420909267 13804262727801