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13453352304 = 243741223819
BaseRepresentation
bin11001000011110000…
…11101110101110000
31021201120212002220120
430201320131311300
5210023024233204
610102544010240
7654246415320
oct144170356560
937646762816
1013453352304
115784080787
122735600980
1313652a34c2
14918a5b280
1553b1536d9
hex321e1dd70

13453352304 has 120 divisors (see below), whose sum is σ = 40713525120. Its totient is φ = 3749905920.

The previous prime is 13453352293. The next prime is 13453352323. The reversal of 13453352304 is 40325335431.

13453352304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent 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 23 ways as a sum of consecutive naturals, for example, 552907 + ... + 576725.

It is an arithmetic number, because the mean of its divisors is an integer number (339279376).

Almost surely, 213453352304 is an apocalyptic number.

13453352304 is a gapful number since it is divisible by the number (14) 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 13453352304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20356762560).

13453352304 is an abundant number, since it is smaller than the sum of its proper divisors (27260172816).

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

13453352304 is a wasteful number, since it uses less digits than its factorization.

13453352304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23919 (or 23872 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 33.

Adding to 13453352304 its reverse (40325335431), we get a palindrome (53778687735).

The spelling of 13453352304 in words is "thirteen billion, four hundred fifty-three million, three hundred fifty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 41 42 48 56 82 84 112 123 164 168 246 287 328 336 492 574 656 861 984 1148 1681 1722 1968 2296 3362 3444 4592 5043 6724 6888 10086 11767 13448 13776 20172 23534 23819 26896 35301 40344 47068 47638 70602 71457 80688 94136 95276 141204 142914 166733 188272 190552 282408 285828 333466 381104 500199 564816 571656 666932 976579 1000398 1143312 1333864 1953158 2000796 2667728 2929737 3906316 4001592 5859474 6836053 7812632 8003184 11718948 13672106 15625264 20508159 23437896 27344212 40039739 41016318 46875792 54688424 80079478 82032636 109376848 120119217 160158956 164065272 240238434 280278173 320317912 328130544 480476868 560556346 640635824 840834519 960953736 1121112692 1681669038 1921907472 2242225384 3363338076 4484450768 6726676152 13453352304