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29008573104 = 2437253232709
BaseRepresentation
bin11011000001000010…
…111011001010110000
32202212122202012100110
4123001002323022300
5433402143314404
621154254221320
72044600542300
oct330102731260
982778665313
1029008573104
1111336646365
125756ab4840
132973b6a174
1415928cd600
15b4ba8cb89
hex6c10bb2b0

29008573104 has 120 divisors (see below), whose sum is σ = 88818891120. Its totient is φ = 8131748352.

The previous prime is 29008573081. The next prime is 29008573109. The reversal of 29008573104 is 40137580092.

It is a super-2 number, since 2×290085731042 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (29008573109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8302 + ... + 241010.

It is an arithmetic number, because the mean of its divisors is an integer number (740157426).

Almost surely, 229008573104 is an apocalyptic number.

29008573104 is a gapful number since it is divisible by the number (24) 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 29008573104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44409445560).

29008573104 is an abundant number, since it is smaller than the sum of its proper divisors (59810318016).

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

29008573104 is a wasteful number, since it uses less digits than its factorization.

29008573104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232787 (or 232774 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The spelling of 29008573104 in words is "twenty-nine billion, eight million, five hundred seventy-three thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 53 56 84 98 106 112 147 159 168 196 212 294 318 336 371 392 424 588 636 742 784 848 1113 1176 1272 1484 2226 2352 2544 2597 2968 4452 5194 5936 7791 8904 10388 15582 17808 20776 31164 41552 62328 124656 232709 465418 698127 930836 1396254 1628963 1861672 2792508 3257926 3723344 4886889 5585016 6515852 9773778 11170032 11402741 12333577 13031704 19547556 22805482 24667154 26063408 34208223 37000731 39095112 45610964 49334308 68416446 74001462 78190224 86335039 91221928 98668616 136832892 148002924 172670078 182443856 197337232 259005117 273665784 296005848 345340156 518010234 547331568 592011696 604345273 690680312 1036020468 1208690546 1381360624 1813035819 2072040936 2417381092 3626071638 4144081872 4834762184 7252143276 9669524368 14504286552 29008573104