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13382659212 = 22313537012309
BaseRepresentation
bin11000111011010101…
…10010110010001100
31021112122211112012220
430131222302302030
5204401430043322
610051540455340
7652430504106
oct143552626214
937478745186
1013382659212
115748186a3a
1227159aa550
131353751380
1490d4d8576
15534d3c55c
hex31dab2c8c

13382659212 has 96 divisors (see below), whose sum is σ = 34326452160. Its totient is φ = 4032537600.

The previous prime is 13382659211. The next prime is 13382659229. The reversal of 13382659212 is 21295628331.

13382659212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (13382659211) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 5794714 + ... + 5797022.

It is an arithmetic number, because the mean of its divisors is an integer number (357567210).

Almost surely, 213382659212 is an apocalyptic number.

13382659212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13382659212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17163226080).

13382659212 is an abundant number, since it is smaller than the sum of its proper divisors (20943792948).

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

13382659212 is a wasteful number, since it uses less digits than its factorization.

13382659212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3083 (or 3081 counting only the distinct ones).

The product of its digits is 155520, while the sum is 42.

The spelling of 13382659212 in words is "thirteen billion, three hundred eighty-two million, six hundred fifty-nine thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 53 78 106 156 159 212 318 636 689 701 1378 1402 2067 2103 2309 2756 2804 4134 4206 4618 6927 8268 8412 9113 9236 13854 18226 27339 27708 30017 36452 37153 54678 60034 74306 90051 109356 111459 120068 122377 148612 180102 222918 244754 360204 367131 445836 482989 489508 734262 965978 1448967 1468524 1590901 1618609 1931956 2897934 3181802 3237218 4772703 4855827 5795868 6363604 6474436 9545406 9711654 19090812 19423308 21041917 42083834 63125751 84167668 85786277 126251502 171572554 252503004 257358831 343145108 514717662 1029435324 1115221601 2230443202 3345664803 4460886404 6691329606 13382659212