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12455049816 = 23321123738639
BaseRepresentation
bin10111001100110000…
…01111101001011000
31012011000101002100100
423212120033221120
5201001443043231
65415522535400
7620435114406
oct134630175130
935130332310
1012455049816
115311607300
1224b7207560
13123650bb81
14862232476
154cd6aa1e6
hex2e660fa58

12455049816 has 144 divisors (see below), whose sum is σ = 38080879200. Its totient is φ = 3672155520.

The previous prime is 12455049809. The next prime is 12455049829. The reversal of 12455049816 is 61894055421.

12455049816 is a `hidden beast` number, since 1 + 2 + 4 + 550 + 4 + 98 + 1 + 6 = 666.

12455049816 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 35 ways as a sum of consecutive naturals, for example, 303025 + ... + 341663.

It is an arithmetic number, because the mean of its divisors is an integer number (264450550).

Almost surely, 212455049816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12455049816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19040439600).

12455049816 is an abundant number, since it is smaller than the sum of its proper divisors (25625829384).

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

12455049816 is a wasteful number, since it uses less digits than its factorization.

12455049816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38710 (or 38692 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

It can be divided in two parts, 1245504 and 9816, that added together give a triangular number (1255320 = T1584).

The spelling of 12455049816 in words is "twelve billion, four hundred fifty-five million, forty-nine thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 37 44 66 72 74 88 99 111 121 132 148 198 222 242 264 296 333 363 396 407 444 484 666 726 792 814 888 968 1089 1221 1332 1452 1628 2178 2442 2664 2904 3256 3663 4356 4477 4884 7326 8712 8954 9768 13431 14652 17908 26862 29304 35816 38639 40293 53724 77278 80586 107448 115917 154556 161172 231834 309112 322344 347751 425029 463668 695502 850058 927336 1275087 1391004 1429643 1700116 2550174 2782008 2859286 3400232 3825261 4288929 4675319 5100348 5718572 7650522 8577858 9350638 10200696 11437144 12866787 14025957 15301044 15726073 17155716 18701276 25733574 28051914 30602088 31452146 34311432 37402552 42077871 47178219 51467148 56103828 62904292 84155742 94356438 102934296 112207656 125808584 141534657 168311484 172986803 188712876 283069314 336622968 345973606 377425752 518960409 566138628 691947212 1037920818 1132277256 1383894424 1556881227 2075841636 3113762454 4151683272 6227524908 12455049816