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8406853046361 = 3371117587405221
BaseRepresentation
bin111101001010101111101…
…1111010101000001011001
31002202200120001011121011000
41322111133133111001121
52100214213334440421
625514015512455213
71525242440565240
oct172253737250131
932680501147130
108406853046361
112751365418810
12b3937a0aa509
1348c9bbc65003
14210c72a67957
15e8a352eb226
hex7a55f7d5059

8406853046361 has 128 divisors (see below), whose sum is σ = 16469259448320. Its totient is φ = 4103290137600.

The previous prime is 8406853046359. The next prime is 8406853046369. The reversal of 8406853046361 is 1636403586048.

8406853046361 is a `hidden beast` number, since 8 + 4 + 0 + 6 + 8 + 530 + 46 + 3 + 61 = 666.

It is not a de Polignac number, because 8406853046361 - 21 = 8406853046359 is a prime.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 8406853046298 and 8406853046307.

It is not an unprimeable number, because it can be changed into a prime (8406853046369) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 20543731 + ... + 20948951.

It is an arithmetic number, because the mean of its divisors is an integer number (128666089440).

Almost surely, 28406853046361 is an apocalyptic number.

It is an amenable number.

8406853046361 is a deficient number, since it is larger than the sum of its proper divisors (8062406401959).

8406853046361 is a wasteful number, since it uses less digits than its factorization.

8406853046361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405852 (or 405846 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 8406853046361 in words is "eight trillion, four hundred six billion, eight hundred fifty-three million, forty-six thousand, three hundred sixty-one".

Divisors: 1 3 7 9 11 17 21 27 33 51 63 77 99 119 153 187 189 231 297 357 459 561 587 693 1071 1309 1683 1761 2079 3213 3927 4109 5049 5283 6457 9979 11781 12327 15849 19371 29937 35343 36981 45199 58113 69853 89811 109769 110943 135597 174339 209559 269433 329307 405221 406791 628677 768383 987921 1215663 1220373 1886031 2305149 2836547 2963763 3646989 4457431 6888757 6915447 8509641 10940967 13372293 20666271 20746341 25528923 31202017 40116879 48221299 61998813 75776327 76586769 93606051 120350637 144663897 185996439 227328981 237864727 280818153 433991691 530434289 681986943 713594181 842454459 1301975073 1591302867 1665053089 2045960829 2140782543 2616511997 4043700359 4773908601 4995159267 6422347629 7849535991 12131101077 14321725803 14985477801 18315583979 23548607973 28305902513 36393303231 44480703949 44956433403 54946751937 70645823919 84917707539 109179909693 133442111847 164840255811 254753122617 311364927643 400326335541 494520767433 764259367851 934094782929 1200979006623 2802284348787 8406853046361