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13410454512 = 24371327111329
BaseRepresentation
bin11000111110101001…
…10100101111110000
31021121121010200012110
430133110310233300
5204431034021022
610054412325320
7653215661010
oct143724645760
937547120173
1013410454512
115761940a64
122723173840
1313594339b0
14913091c40
155374cd00c
hex31f534bf0

13410454512 has 160 divisors (see below), whose sum is σ = 42799482880. Its totient is φ = 3523461120.

The previous prime is 13410454489. The next prime is 13410454513. The reversal of 13410454512 is 21545401431.

It is a self number, because there is not a number n which added to its sum of digits gives 13410454512.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13410454513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1178064 + ... + 1189392.

It is an arithmetic number, because the mean of its divisors is an integer number (267496768).

Almost surely, 213410454512 is an apocalyptic number.

13410454512 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 13410454512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21399741440).

13410454512 is an abundant number, since it is smaller than the sum of its proper divisors (29389028368).

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

13410454512 is a wasteful number, since it uses less digits than its factorization.

13410454512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11631 (or 11625 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 13410454512 its reverse (21545401431), we get a palindrome (34955855943).

The spelling of 13410454512 in words is "thirteen billion, four hundred ten million, four hundred fifty-four thousand, five hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 156 168 182 208 271 273 312 336 364 542 546 624 728 813 1084 1092 1456 1626 1897 2168 2184 3252 3523 3794 4336 4368 5691 6504 7046 7588 10569 11329 11382 13008 14092 15176 21138 22658 22764 24661 28184 30352 33987 42276 45316 45528 49322 56368 67974 73983 79303 84552 90632 91056 98644 135948 147277 147966 158606 169104 181264 197288 237909 271896 294554 295932 317212 394576 441831 475818 543792 589108 591864 634424 883662 951636 1030939 1178216 1183728 1268848 1767324 1903272 2061878 2356432 3070159 3092817 3534648 3806544 4123756 6140318 6185634 7069296 8247512 9210477 12280636 12371268 16495024 18420954 21491113 24561272 24742536 36841908 39912067 42982226 49122544 49485072 64473339 73683816 79824134 85964452 119736201 128946678 147367632 159648268 171928904 239472402 257893356 279384469 319296536 343857808 478944804 515786712 558768938 638593072 838153407 957889608 1031573424 1117537876 1676306814 1915779216 2235075752 3352613628 4470151504 6705227256 13410454512