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129345688877229 = 381121217133877
BaseRepresentation
bin11101011010001110100011…
…110101101011100010101101
3121221222022211110012100000000
4131122032203311223202231
5113423144432323032404
61135032331131454513
736146626515010566
oct3532164365534255
9557868743170000
10129345688877229
1138239220377300
12126100895b7439
135723327972b56
1423d2516c0716d
15ee48a1656339
hex75a3a3d6b8ad

129345688877229 has 108 divisors (see below), whose sum is σ = 213426025515612. Its totient is φ = 78326327946240.

The previous prime is 129345688877221. The next prime is 129345688877233. The reversal of 129345688877229 is 922778886543921.

129345688877229 is a `hidden beast` number, since 1 + 2 + 9 + 3 + 456 + 88 + 87 + 7 + 2 + 2 + 9 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 61785919601604 + 67559769275625 = 7860402^2 + 8219475^2 .

It is not a de Polignac number, because 129345688877229 - 23 = 129345688877221 is a prime.

It is a super-2 number, since 2×1293456888772292 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129345688877221) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 966086239 + ... + 966220115.

Almost surely, 2129345688877229 is an apocalyptic number.

It is an amenable number.

129345688877229 is a deficient number, since it is larger than the sum of its proper divisors (84080336638383).

129345688877229 is an equidigital number, since it uses as much as digits as its factorization.

129345688877229 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135140 (or 135108 counting only the distinct ones).

The product of its digits is 5852528640, while the sum is 81.

The spelling of 129345688877229 in words is "one hundred twenty-nine trillion, three hundred forty-five billion, six hundred eighty-eight million, eight hundred seventy-seven thousand, two hundred twenty-nine".

Divisors: 1 3 9 11 27 33 81 99 121 243 297 363 729 891 1089 1217 2187 2673 3267 3651 6561 8019 9801 10953 13387 24057 29403 32859 40161 72171 88209 98577 120483 133877 147257 264627 295731 361449 401631 441771 793881 887193 1084347 1204893 1325313 1472647 2661579 3253041 3614679 3975939 4417941 7984737 9759123 10844037 11927817 13253823 16199117 29277369 32532111 35783451 39761469 48597351 87832107 97596333 107350353 119284407 145792053 162928309 292788999 322051059 357853221 437376159 488784927 878366997 966153177 1073559663 1312128477 1466354781 1792211399 3220678989 3936385431 4399064343 5376634197 9662036967 11809156293 13197193029 16129902591 19714325389 35427468879 39591579087 48389707773 59142976167 106282406637 118774737261 145169123319 177428928501 356324211783 435507369957 532286785503 1068972635349 1306522109871 1596860356509 3919566329613 4790581069527 11758698988839 14371743208581 43115229625743 129345688877229