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29103411568 = 2471131863883
BaseRepresentation
bin11011000110101100…
…101101000101110000
32210010021012111021011
4123012230231011300
5434100433132233
621211523040304
72050131626260
oct330654550560
983107174234
1029103411568
1111385131960
125782810094
13298a6c44ba
1415a13397a0
15b550730cd
hex6c6b2d170

29103411568 has 160 divisors (see below), whose sum is σ = 72735916032. Its totient is φ = 10948089600.

The previous prime is 29103411563. The next prime is 29103411611. The reversal of 29103411568 is 86511430192.

It is a self number, because there is not a number n which added to its sum of digits gives 29103411568.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29103411563) 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 31 ways as a sum of consecutive naturals, for example, 32959255 + ... + 32960137.

Almost surely, 229103411568 is an apocalyptic number.

29103411568 is a gapful number since it is divisible by the number (28) 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 29103411568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36367958016).

29103411568 is an abundant number, since it is smaller than the sum of its proper divisors (43632504464).

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

29103411568 is a wasteful number, since it uses less digits than its factorization.

29103411568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1803 (or 1797 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 40.

The spelling of 29103411568 in words is "twenty-nine billion, one hundred three million, four hundred eleven thousand, five hundred sixty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 31 44 56 62 77 88 112 124 154 176 217 248 308 341 434 496 616 682 863 868 883 1232 1364 1726 1736 1766 2387 2728 3452 3472 3532 4774 5456 6041 6181 6904 7064 9493 9548 9713 12082 12362 13808 14128 18986 19096 19426 24164 24724 26753 27373 37972 38192 38852 48328 49448 53506 54746 66451 67991 75944 77704 96656 98896 107012 109492 132902 135982 151888 155408 187271 191611 214024 218984 265804 271964 294283 301103 374542 383222 428048 437968 531608 543928 588566 602206 749084 762029 766444 1063216 1087856 1177132 1204412 1498168 1524058 1532888 2059981 2107721 2354264 2408824 2996336 3048116 3065776 4119962 4215442 4708528 4817648 5334203 6096232 8239924 8382319 8430884 10668406 12192464 16479848 16764638 16861768 21336812 23622899 32959696 33529276 33723536 42673624 47245798 58676233 67058552 85347248 94491596 117352466 134117104 165360293 188983192 234704932 259851889 330720586 377966384 469409864 519703778 661441172 938819728 1039407556 1322882344 1818963223 2078815112 2645764688 3637926446 4157630224 7275852892 14551705784 29103411568