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12398051448 = 2332172678893
BaseRepresentation
bin10111000101111101…
…10100000001111000
31012000001010021021200
423202332310001320
5200342400121243
65410125134200
7616143461406
oct134276640170
935001107250
1012398051448
115292416612
1224a00ba360
131227773223
14858836476
154c869bad3
hex2e2fb4078

12398051448 has 144 divisors (see below), whose sum is σ = 36205873080. Its totient is φ = 3831100416.

The previous prime is 12398051441. The next prime is 12398051467. The reversal of 12398051448 is 84415089321.

12398051448 is a `hidden beast` number, since 1 + 2 + 3 + 98 + 0 + 514 + 48 = 666.

12398051448 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 not an unprimeable number, because it can be changed into a prime (12398051441) 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 35 ways as a sum of consecutive naturals, for example, 1389690 + ... + 1398582.

Almost surely, 212398051448 is an apocalyptic number.

12398051448 is a gapful number since it is divisible by the number (18) 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 12398051448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18102936540).

12398051448 is an abundant number, since it is smaller than the sum of its proper divisors (23807821632).

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

12398051448 is a wasteful number, since it uses less digits than its factorization.

12398051448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9006 (or 8982 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 12398051448 in words is "twelve billion, three hundred ninety-eight million, fifty-one thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 67 68 72 102 134 136 153 201 204 268 289 306 402 408 536 578 603 612 804 867 1139 1156 1206 1224 1608 1734 2278 2312 2412 2601 3417 3468 4556 4824 5202 6834 6936 8893 9112 10251 10404 13668 17786 19363 20502 20808 26679 27336 35572 38726 41004 53358 58089 71144 77452 80037 82008 106716 116178 151181 154904 160074 174267 213432 232356 302362 320148 348534 453543 464712 595831 604724 640296 697068 907086 1191662 1209448 1360629 1394136 1787493 1814172 2383324 2570077 2721258 3574986 3628344 4766648 5140154 5362479 5442516 7149972 7710231 10129127 10280308 10724958 10885032 14299944 15420462 20258254 20560616 21449916 23130693 30387381 30840924 40516508 42899832 46261386 60774762 61681848 81033016 91162143 92522772 121549524 172195159 182324286 185045544 243099048 344390318 364648572 516585477 688780636 729297144 1033170954 1377561272 1549756431 2066341908 3099512862 4132683816 6199025724 12398051448