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12229226768976 = 2437173169063583
BaseRepresentation
bin1011000111110101011010…
…1101111010101001010000
31121022002202211200111002220
42301331112231322221100
53100330424023101401
642002010151141040
72401350432262350
oct261752655725120
947262684614086
1012229226768976
113995427772128
121456133374780
136a9298b343a9
14303c7d54ab60
1516319c183336
hexb1f56b7aa50

12229226768976 has 160 divisors (see below), whose sum is σ = 39462379388928. Its totient is φ = 3182449858560.

The previous prime is 12229226768971. The next prime is 12229226769079. The reversal of 12229226768976 is 67986762292221.

It is a self number, because there is not a number n which added to its sum of digits gives 12229226768976.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12229226768971) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34354720 + ... + 34708863.

Almost surely, 212229226768976 is an apocalyptic number.

12229226768976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12229226768976 is an abundant number, since it is smaller than the sum of its proper divisors (27233152619952).

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

12229226768976 is a wasteful number, since it uses less digits than its factorization.

12229226768976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69063649 (or 69063643 counting only the distinct ones).

The product of its digits is 219469824, while the sum is 69.

The spelling of 12229226768976 in words is "twelve trillion, two hundred twenty-nine billion, two hundred twenty-six million, seven hundred sixty-eight thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 31 34 42 48 51 56 62 68 84 93 102 112 119 124 136 168 186 204 217 238 248 272 336 357 372 408 434 476 496 527 651 714 744 816 868 952 1054 1302 1428 1488 1581 1736 1904 2108 2604 2856 3162 3472 3689 4216 5208 5712 6324 7378 8432 10416 11067 12648 14756 22134 25296 29512 44268 59024 88536 177072 69063583 138127166 207190749 276254332 414381498 483445081 552508664 828762996 966890162 1105017328 1174080911 1450335243 1657525992 1933780324 2140971073 2348161822 2900670486 3315051984 3522242733 3867560648 4281942146 4696323644 5801340972 6422913219 7044485466 7735121296 8218566377 8563884292 9392647288 11602681944 12845826438 14088970932 14986797511 16437132754 17127768584 18785294576 23205363888 24655699131 25691652876 28177941864 29973595022 32874265508 34255537168 36396508241 44960392533 49311398262 51383305752 56355883728 59947190044 65748531016 72793016482 89920785066 98622796524 102766611504 109189524723 119894380088 131497062032 145586032964 179841570132 197245593048 218379049446 239788760176 254775557687 291172065928 359683140264 394491186096 436758098892 509551115374 582344131856 719366280528 764326673061 873516197784 1019102230748 1528653346122 1747032395568 2038204461496 3057306692244 4076408922992 6114613384488 12229226768976