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34836678429 = 3721961732801
BaseRepresentation
bin100000011100011011…
…011000011100011101
310022220211100121212020
4200130123120130131
51032321142202204
624000450530353
72342166611100
oct403433303435
9108824317766
1034836678429
1113857440133
1269028969b9
13339243c3b7
141986954737
15d8d56dbd9
hex81c6d871d

34836678429 has 96 divisors (see below), whose sum is σ = 58621426560. Its totient is φ = 18289152000.

The previous prime is 34836678419. The next prime is 34836678449. The reversal of 34836678429 is 92487663843.

It is not a de Polignac number, because 34836678429 - 25 = 34836678397 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34836678419) 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 95 ways as a sum of consecutive naturals, for example, 12435829 + ... + 12438629.

It is an arithmetic number, because the mean of its divisors is an integer number (610639860).

Almost surely, 234836678429 is an apocalyptic number.

It is an amenable number.

34836678429 is a deficient number, since it is larger than the sum of its proper divisors (23784748131).

34836678429 is a wasteful number, since it uses less digits than its factorization.

34836678429 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2971 (or 2964 counting only the distinct ones).

The product of its digits is 41803776, while the sum is 60.

The spelling of 34836678429 in words is "thirty-four billion, eight hundred thirty-six million, six hundred seventy-eight thousand, four hundred twenty-nine".

Divisors: 1 3 7 19 21 49 57 61 73 133 147 183 219 399 427 511 931 1159 1281 1387 1533 2793 2801 2989 3477 3577 4161 4453 8113 8403 8967 9709 10731 13359 19607 24339 29127 31171 53219 56791 58821 67963 84607 93513 137249 159657 170373 170861 203889 204473 218197 253821 372533 411747 512583 592249 613419 654591 1117599 1196027 1431311 1776747 2607731 3246359 3588081 3884987 4145743 4293933 7823193 8372189 9739077 10019177 11654961 12437229 12472853 22724513 25116567 27194909 30057531 37418559 68173539 81584727 87309971 159071591 190364363 236984207 261929913 477214773 571093089 611169797 710952621 1658889449 1833509391 4976668347 11612226143 34836678429