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10024425150208 = 28761671368727
BaseRepresentation
bin1001000111011111111001…
…0011001101011100000000
31022111022210102110102222021
42101313332103031130000
52303220010314301313
633153053552451224
72053145412605620
oct221677623153400
938438712412867
1010024425150208
11321537572a977
12115a973849b14
135793b7560821
14269282dd8880
15125b5941478d
hex91dfe4cd700

10024425150208 has 144 divisors (see below), whose sum is σ = 23590038029824. Its totient is φ = 4162679009280.

The previous prime is 10024425150193. The next prime is 10024425150253. The reversal of 10024425150208 is 80205152442001.

10024425150208 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×100244251502083 (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6639541 + ... + 8008267.

Almost surely, 210024425150208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10024425150208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11795019014912).

10024425150208 is an abundant number, since it is smaller than the sum of its proper divisors (13565612879616).

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

10024425150208 is an equidigital number, since it uses as much as digits as its factorization.

10024425150208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1368878 (or 1368864 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 34.

Adding to 10024425150208 its reverse (80205152442001), we get a palindrome (90229577592209).

The spelling of 10024425150208 in words is "ten trillion, twenty-four billion, four hundred twenty-five million, one hundred fifty thousand, two hundred eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 61 64 67 112 122 128 134 224 244 256 268 427 448 469 488 536 854 896 938 976 1072 1708 1792 1876 1952 2144 3416 3752 3904 4087 4288 6832 7504 7808 8174 8576 13664 15008 15616 16348 17152 27328 28609 30016 32696 54656 57218 60032 65392 109312 114436 120064 130784 228872 261568 457744 523136 915488 1046272 1368727 1830976 2737454 3661952 5474908 7323904 9581089 10949816 19162178 21899632 38324356 43799264 76648712 83492347 87598528 91704709 153297424 166984694 175197056 183409418 306594848 333969388 350394112 366818836 584446429 613189696 641932963 667938776 733637672 1168892858 1226379392 1283865926 1335877552 1467275344 2337785716 2452758784 2567731852 2671755104 2934550688 4675571432 5135463704 5343510208 5593987249 5869101376 9351142864 10270927408 10687020416 11187974498 11738202752 18702285728 20541854816 21374040832 22375948996 23476405504 37404571456 39157910743 41083709632 44751897992 74809142912 78315821486 82167419264 89503795984 149618285824 156631642972 164334838528 179007591968 313263285944 358015183936 626526571888 716030367872 1253053143776 1432060735744 2506106287552 5012212575104 10024425150208