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29965534378389 = 346721511793049
BaseRepresentation
bin1101101000000111001010…
…00010000011100110010101
310221002200021121112202220000
412310003211002003212111
512411423403300102024
6143421550525201513
76211636606422321
oct664034502034625
9127080247482800
1029965534378389
119603347a58455
12343b630a00299
131394978b494cc
147584a7c24981
1536e714102cc9
hex1b40e5083995

29965534378389 has 120 divisors (see below), whose sum is σ = 46012976856000. Its totient is φ = 19432949500800.

The previous prime is 29965534378321. The next prime is 29965534378393. The reversal of 29965534378389 is 98387343556992.

29965534378389 is a `hidden beast` number, since 2 + 9 + 9 + 6 + 5 + 534 + 3 + 78 + 3 + 8 + 9 = 666.

It is not a de Polignac number, because 29965534378389 - 211 = 29965534376341 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29965534378189) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 9827986137 + ... + 9827989185.

It is an arithmetic number, because the mean of its divisors is an integer number (383441473800).

Almost surely, 229965534378389 is an apocalyptic number.

It is an amenable number.

29965534378389 is a deficient number, since it is larger than the sum of its proper divisors (16047442477611).

29965534378389 is a wasteful number, since it uses less digits than its factorization.

29965534378389 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3525 (or 3449 counting only the distinct ones).

The product of its digits is 10581580800, while the sum is 81.

The spelling of 29965534378389 in words is "twenty-nine trillion, nine hundred sixty-five billion, five hundred thirty-four million, three hundred seventy-eight thousand, three hundred eighty-nine".

Divisors: 1 3 9 27 67 81 151 179 201 453 537 603 1359 1611 1809 3049 4077 4489 4833 5427 9147 10117 11993 12231 13467 14499 27029 27441 30351 35979 40401 81087 82323 91053 107937 121203 204283 243261 246969 273159 323811 363609 460399 545771 612849 677839 729783 803531 819477 971433 1381197 1637313 1810943 1838547 2033517 2189349 2410593 4143591 4911939 5432829 5515641 6100551 7231779 12430773 13686961 14735817 16298487 16546923 18301653 21695337 30846733 36566657 37292319 41060883 44207451 48895461 54904959 65086011 82411421 92540199 109699971 121333181 123182649 146686383 247234263 277620597 329099913 363999543 369547947 741702789 832861791 987299739 1091998629 1108643841 2066731111 2225108367 2449966019 2498585373 2961899217 3275995887 5521565207 6200193333 6675325101 7349898057 9827987661 16564695621 18600579999 22049694171 49694086863 55801739997 66149082513 149082260589 167405219991 198447247539 369944868869 447246781767 1109834606607 3329503819821 9988511459463 29965534378389