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129069468 = 2232112337383
BaseRepresentation
bin1111011000101…
…11000110011100
322222212102000200
413230113012130
5231020210333
620450223500
73125033553
oct754270634
9288772020
10129069468
1166946890
1237284b90
1320981088
14131dad9a
15b4e7c13
hex7b1719c

129069468 has 144 divisors (see below), whose sum is σ = 382427136. Its totient is φ = 36305280.

The previous prime is 129069467. The next prime is 129069487. The reversal of 129069468 is 864960921.

It is a happy number.

129069468 is a `hidden beast` number, since 129 + 0 + 69 + 468 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129069467) 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, 336805 + ... + 337187.

It is an arithmetic number, because the mean of its divisors is an integer number (2655744).

Almost surely, 2129069468 is an apocalyptic number.

129069468 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 129069468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191213568).

129069468 is an abundant number, since it is smaller than the sum of its proper divisors (253357668).

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

129069468 is a wasteful number, since it uses less digits than its factorization.

129069468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 129069468 is about 11360.8744381760. The cubic root of 129069468 is about 505.3681177028.

The spelling of 129069468 in words is "one hundred twenty-nine million, sixty-nine thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 23 33 36 37 44 46 66 69 74 92 99 111 132 138 148 198 207 222 253 276 333 383 396 407 414 444 506 666 759 766 814 828 851 1012 1149 1221 1332 1518 1532 1628 1702 2277 2298 2442 2553 3036 3404 3447 3663 4213 4554 4596 4884 5106 6894 7326 7659 8426 8809 9108 9361 10212 12639 13788 14171 14652 15318 16852 17618 18722 25278 26427 28083 28342 30636 35236 37444 37917 42513 50556 52854 56166 56684 75834 79281 84249 85026 96899 105708 112332 127539 151668 155881 158562 168498 170052 193798 255078 290697 311762 317124 325933 336996 387596 467643 510156 581394 623524 651866 872091 935286 977799 1162788 1303732 1402929 1744182 1870572 1955598 2805858 2933397 3488364 3585263 3911196 5611716 5866794 7170526 10755789 11733588 14341052 21511578 32267367 43023156 64534734 129069468