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12836348329701 = 3133126730716651
BaseRepresentation
bin1011101011001011000111…
…1110110111111011100101
31200110010212012000022100110
42322302301332313323211
53140302320133022301
643144534221203233
72463252451351161
oct272626176677345
950403765008313
1012836348329701
1140a9956a976a6
12153392b100519
13721602019c50
143253d5551ca1
15173d8232d0d6
hexbacb1fb7ee5

12836348329701 has 96 divisors (see below), whose sum is σ = 19393817608704. Its totient is φ = 7505399088000.

The previous prime is 12836348329697. The next prime is 12836348329733. The reversal of 12836348329701 is 10792384363821.

It is not a de Polignac number, because 12836348329701 - 22 = 12836348329697 is a prime.

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 not an unprimeable number, because it can be changed into a prime (12836348327701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 770897226 + ... + 770913876.

It is an arithmetic number, because the mean of its divisors is an integer number (202018933424).

Almost surely, 212836348329701 is an apocalyptic number.

It is an amenable number.

12836348329701 is a deficient number, since it is larger than the sum of its proper divisors (6557469279003).

12836348329701 is a wasteful number, since it uses less digits than its factorization.

12836348329701 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17103 (or 17072 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 57.

The spelling of 12836348329701 in words is "twelve trillion, eight hundred thirty-six billion, three hundred forty-eight million, three hundred twenty-nine thousand, seven hundred one".

Divisors: 1 3 13 31 39 67 93 201 307 403 871 921 961 1209 2077 2613 2883 3991 6231 9517 11973 12493 16651 20569 27001 28551 37479 49953 61707 64387 81003 123721 193161 216463 267397 295027 371163 516181 637639 649389 802191 837031 885081 1115617 1548543 1912917 2511093 3346851 3835351 5111857 6710353 8289307 11506053 14503021 15335571 16001611 19766809 20131059 24867921 34584127 43509063 48004833 59300427 66454141 103752381 158467567 199362423 208020943 256968517 342494419 449593651 475402701 624062829 770905551 1027483257 1072107937 1348780953 2060078371 3216323811 4452427447 4912494577 6180235113 10617326989 13357282341 13937403181 14737483731 31851980967 41812209543 63862429501 138025250857 191587288503 329137136659 414075752571 987411409977 4278782776567 12836348329701