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129051468 = 22357131459
BaseRepresentation
bin1111011000100…
…10101101001100
322222211111100000
413230102231030
5231014121333
620450004300
73124630230
oct754225514
9288744300
10129051468
1166934307
1237276690
1320975b20
14131d45c0
15b4e2713
hex7b12b4c

129051468 has 144 divisors (see below), whose sum is σ = 416648960. Its totient is φ = 34012224.

The previous prime is 129051463. The next prime is 129051469. The reversal of 129051468 is 864150921.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 3.

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (129051463) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 87723 + ... + 89181.

Almost surely, 2129051468 is an apocalyptic number.

129051468 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 129051468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208324480).

129051468 is an abundant number, since it is smaller than the sum of its proper divisors (287597492).

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

129051468 is a wasteful number, since it uses less digits than its factorization.

129051468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1498 (or 1484 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 129051468 is about 11360.0822180123. The cubic root of 129051468 is about 505.3446237680.

The spelling of 129051468 in words is "one hundred twenty-nine million, fifty-one thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 27 28 36 39 42 52 54 63 78 81 84 91 108 117 126 156 162 182 189 234 243 252 273 324 351 364 378 468 486 546 567 702 756 819 972 1053 1092 1134 1404 1459 1638 1701 2106 2268 2457 2918 3159 3276 3402 4212 4377 4914 5836 6318 6804 7371 8754 9828 10213 12636 13131 14742 17508 18967 20426 22113 26262 29484 30639 37934 39393 40852 44226 52524 56901 61278 75868 78786 88452 91917 113802 118179 122556 132769 157572 170703 183834 227604 236358 265538 275751 341406 354537 367668 398307 472716 512109 531076 551502 682812 709074 796614 827253 1024218 1103004 1194921 1418148 1536327 1593228 1654506 2048436 2389842 2481759 3072654 3309012 3584763 4608981 4779684 4963518 6145308 7169526 9217962 9927036 10754289 14339052 18435924 21508578 32262867 43017156 64525734 129051468