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12454213005 = 32513171923469
BaseRepresentation
bin10111001100101010…
…00011010110001101
31012010221210120110100
423212111003112031
5201001234304010
65415453001313
7620425030623
oct134625032615
935127716410
1012454213005
115311095623
1224b6a83239
1312362a8010
14862095513
154cd5922c0
hex2e654358d

12454213005 has 144 divisors (see below), whose sum is σ = 25986607920. Its totient is φ = 5465346048.

The previous prime is 12454213001. The next prime is 12454213019. The reversal of 12454213005 is 50031245421.

12454213005 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 2136935529 + 10317277476 = 46227^2 + 101574^2 .

It is not a de Polignac number, because 12454213005 - 22 = 12454213001 is a prime.

It is a super-2 number, since 2×124542130052 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12454213005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12454213001) 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 143 ways as a sum of consecutive naturals, for example, 3588411 + ... + 3591879.

It is an arithmetic number, because the mean of its divisors is an integer number (180462555).

Almost surely, 212454213005 is an apocalyptic number.

12454213005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12454213005 is an abundant number, since it is smaller than the sum of its proper divisors (13532394915).

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

12454213005 is a wasteful number, since it uses less digits than its factorization.

12454213005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3548 (or 3526 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 12454213005 its reverse (50031245421), we get a palindrome (62485458426).

The spelling of 12454213005 in words is "twelve billion, four hundred fifty-four million, two hundred thirteen thousand, five".

Divisors: 1 3 5 9 13 15 17 19 39 45 51 57 65 85 95 117 153 171 195 221 247 255 285 323 361 585 663 741 765 855 969 1083 1105 1235 1615 1805 1989 2223 2907 3249 3315 3469 3705 4199 4693 4845 5415 6137 9945 10407 11115 12597 14079 14535 16245 17345 18411 20995 23465 30685 31221 37791 42237 45097 52035 55233 58973 62985 65911 70395 79781 92055 135291 156105 176919 188955 197733 211185 225485 239343 276165 294865 329555 398905 405873 530757 593199 676455 718029 766649 856843 884595 988665 1120487 1196715 1252309 2029365 2299947 2570529 2653785 2965995 3361461 3590145 3756927 3833245 4284215 5602435 6261545 6899841 7711587 10084383 11270781 11499735 12852645 14566331 16280017 16807305 18784635 21289253 34499205 38557935 43698993 48840051 50421915 56353905 63867759 72831655 81400085 106446265 131096979 146520153 191603277 218494965 244200255 276760289 319338795 655484895 732600765 830280867 958016385 1383801445 2490842601 4151404335 12454213005