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29434410568248 = 23371918301503869
BaseRepresentation
bin1101011000101001110111…
…00101100000101000111000
310212012220100200101200120120
412230110323211200220320
512324223133101140443
6142333552002453240
76125365063502460
oct654247345405070
9125186320350516
1029434410568248
119419077459814
123374704664220
13135686486a23a
1473a8c121aba0
153609cadaa083
hex1ac53b960a38

29434410568248 has 128 divisors (see below), whose sum is σ = 88529555904000. Its totient is φ = 7966757721600.

The previous prime is 29434410568237. The next prime is 29434410568271. The reversal of 29434410568248 is 84286501443492.

It is a junction number, because it is equal to n+sod(n) for n = 29434410568191 and 29434410568200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58164858 + ... + 58668726.

It is an arithmetic number, because the mean of its divisors is an integer number (691637155500).

Almost surely, 229434410568248 is an apocalyptic number.

29434410568248 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

29434410568248 is an abundant number, since it is smaller than the sum of its proper divisors (59095145335752).

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

29434410568248 is a wasteful number, since it uses less digits than its factorization.

29434410568248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522205 (or 522201 counting only the distinct ones).

The product of its (nonzero) digits is 53084160, while the sum is 60.

The spelling of 29434410568248 in words is "twenty-nine trillion, four hundred thirty-four billion, four hundred ten million, five hundred sixty-eight thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 56 57 76 84 114 133 152 168 228 266 399 456 532 798 1064 1596 3192 18301 36602 54903 73204 109806 128107 146408 219612 256214 347719 384321 439224 503869 512428 695438 768642 1007738 1024856 1043157 1390876 1511607 1537284 2015476 2086314 2434033 2781752 3023214 3074568 3527083 4030952 4172628 4868066 6046428 7054166 7302099 8345256 9573511 9736132 10581249 12092856 14108332 14604198 19147022 19472264 21162498 28216664 28720533 29208396 38294044 42324996 57441066 58416792 67014577 76588088 84649992 114882132 134029154 201043731 229764264 268058308 402087462 536116616 804174924 1608349848 9221306569 18442613138 27663919707 36885226276 55327839414 64549145983 73770452552 110655678828 129098291966 175204824811 193647437949 221311357656 258196583932 350409649622 387294875898 516393167864 525614474433 700819299244 774589751796 1051228948866 1226433773677 1401638598488 1549179503592 2102457897732 2452867547354 3679301321031 4204915795464 4905735094708 7358602642062 9811470189416 14717205284124 29434410568248