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13284346060 = 2253765927241
BaseRepresentation
bin11000101111100111…
…10000100011001100
31021021210211200221001
430113303300203030
5204201243033220
610034105350044
7650125035616
oct142763604314
937253750831
1013284346060
1156a77378a7
1226a8a98324
13133927b5cb
14900425db6
1552b3bc80a
hex317cf08cc

13284346060 has 48 divisors (see below), whose sum is σ = 28695633120. Its totient is φ = 5162088960.

The previous prime is 13284346027. The next prime is 13284346073. The reversal of 13284346060 is 6064348231.

13284346060 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (37).

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 15 ways as a sum of consecutive naturals, for example, 474040 + ... + 501280.

It is an arithmetic number, because the mean of its divisors is an integer number (597825690).

Almost surely, 213284346060 is an apocalyptic number.

13284346060 is a gapful number since it is divisible by the number (10) 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 13284346060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14347816560).

13284346060 is an abundant number, since it is smaller than the sum of its proper divisors (15411287060).

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

13284346060 is a wasteful number, since it uses less digits than its factorization.

13284346060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27946 (or 27944 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 37.

The spelling of 13284346060 in words is "thirteen billion, two hundred eighty-four million, three hundred forty-six thousand, sixty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 659 740 1318 2636 3295 6590 13180 24383 27241 48766 54482 97532 108964 121915 136205 243830 272410 487660 544820 1007917 2015834 4031668 5039585 10079170 17951819 20158340 35903638 71807276 89759095 179518190 359036380 664217303 1328434606 2656869212 3321086515 6642173030 13284346060