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13676001354 = 232311012271069
BaseRepresentation
bin11001011110010011…
…10011100001001010
31022022002210211222200
430233021303201022
5211002024020404
610141020101030
7662622044031
oct145711634112
938262724880
1013676001354
115888823264
122798094776
13139c45a8c2
1493a457718
15550983839
hex32f27384a

13676001354 has 96 divisors (see below), whose sum is σ = 31055132160. Its totient is φ = 4344624000.

The previous prime is 13676001257. The next prime is 13676001397. The reversal of 13676001354 is 45310067631.

13676001354 is a `hidden beast` number, since 1 + 36 + 7 + 600 + 13 + 5 + 4 = 666.

13676001354 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

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 47 ways as a sum of consecutive naturals, for example, 12792732 + ... + 12793800.

It is an arithmetic number, because the mean of its divisors is an integer number (323490960).

Almost surely, 213676001354 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13676001354, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15527566080).

13676001354 is an abundant number, since it is smaller than the sum of its proper divisors (17379130806).

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

13676001354 is a wasteful number, since it uses less digits than its factorization.

13676001354 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1436 (or 1433 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

Adding to 13676001354 its reverse (45310067631), we get a palindrome (58986068985).

The spelling of 13676001354 in words is "thirteen billion, six hundred seventy-six million, one thousand, three hundred fifty-four".

Divisors: 1 2 3 6 9 18 31 62 93 101 186 202 227 279 303 454 558 606 681 909 1069 1362 1818 2043 2138 3131 3207 4086 6262 6414 7037 9393 9621 14074 18786 19242 21111 22927 28179 33139 42222 45854 56358 63333 66278 68781 99417 107969 126666 137562 198834 206343 215938 242663 298251 323907 412686 485326 596502 647814 710737 727989 971721 1421474 1455978 1943442 2132211 2183967 3347039 4264422 4367934 6396633 6694078 7522553 10041117 12793266 15045106 20082234 22567659 24508963 30123351 45135318 49017926 60246702 67702977 73526889 135405954 147053778 220580667 441161334 759777853 1519555706 2279333559 4558667118 6838000677 13676001354