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12988829169 = 33232937101193
BaseRepresentation
bin11000001100011000…
…11100110111110001
31020112012202212222000
430012030130313301
5203100120013134
65544511404213
7636606140421
oct140614346761
936465685860
1012988829169
115565945668
122625b23669
1312bcc90244
148b309c481
15510496e99
hex30631cdf1

12988829169 has 128 divisors (see below), whose sum is σ = 21655987200. Its totient is φ = 7664025600.

The previous prime is 12988829137. The next prime is 12988829213. The reversal of 12988829169 is 96192888921.

12988829169 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12988829169 - 25 = 12988829137 is a prime.

It is a super-2 number, since 2×129888291692 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12988829569) 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 127 ways as a sum of consecutive naturals, for example, 67299537 + ... + 67299729.

It is an arithmetic number, because the mean of its divisors is an integer number (169187400).

Almost surely, 212988829169 is an apocalyptic number.

It is an amenable number.

12988829169 is a deficient number, since it is larger than the sum of its proper divisors (8667158031).

12988829169 is a wasteful number, since it uses less digits than its factorization.

12988829169 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 386 counting only the distinct ones).

The product of its digits is 8957952, while the sum is 63.

The spelling of 12988829169 in words is "twelve billion, nine hundred eighty-eight million, eight hundred twenty-nine thousand, one hundred sixty-nine".

Divisors: 1 3 9 23 27 29 37 69 87 101 111 193 207 261 303 333 579 621 667 783 851 909 999 1073 1737 2001 2323 2553 2727 2929 3219 3737 4439 5211 5597 6003 6969 7141 7659 8787 9657 11211 13317 16791 18009 19493 20907 21423 22977 24679 26361 28971 33633 39951 50373 58479 62721 64269 67367 74037 79083 85951 100899 108373 119853 128731 151119 164243 175437 192807 202101 207089 222111 257853 325119 386193 448339 492729 526311 565297 606303 621267 666333 721241 773559 975357 1158579 1345017 1478187 1695891 1818909 1863801 2163723 2320677 2492579 2926071 3475737 4035051 4434561 4763047 5087673 5591403 6491169 7477737 12105153 13001831 14289141 15263019 16588543 19473507 20915989 22433211 39005493 42867423 49765629 62747967 67299633 117016479 128602269 149296887 188243901 351049437 447890661 481067747 564731703 1443203241 4329609723 12988829169