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80586822076731 = 33193131733594759
BaseRepresentation
bin10010010100101100010100…
…111001110100100100111011
3101120100000200012010012211000
4102110230110321310210323
541030313302422423411
6443221024110140043
722655130401352105
oct2224542471644473
9346300605105730
1080586822076731
112374a752193963
1290563237b1623
1335c73c65c3199
1415c85cc9d6575
1594b3ac90b956
hex494b14e7493b

80586822076731 has 128 divisors (see below), whose sum is σ = 130200698880000. Its totient is φ = 49074793073280.

The previous prime is 80586822076721. The next prime is 80586822076753. The reversal of 80586822076731 is 13767022868508.

It is not a de Polignac number, because 80586822076731 - 25 = 80586822076699 is a prime.

It is a super-2 number, since 2×805868220767312 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (80586822076721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16933559730 + ... + 16933564488.

It is an arithmetic number, because the mean of its divisors is an integer number (1017192960000).

Almost surely, 280586822076731 is an apocalyptic number.

80586822076731 is a deficient number, since it is larger than the sum of its proper divisors (49613876803269).

80586822076731 is a wasteful number, since it uses less digits than its factorization.

80586822076731 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8494 (or 8488 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 63.

The spelling of 80586822076731 in words is "eighty trillion, five hundred eighty-six billion, eight hundred twenty-two million, seventy-six thousand, seven hundred thirty-one".

Divisors: 1 3 9 19 27 31 57 93 171 279 317 513 589 837 951 1767 2853 3359 4759 5301 6023 8559 9827 10077 14277 15903 18069 29481 30231 42831 54207 63821 88443 90421 90693 104129 128493 147529 162621 186713 191463 265329 271263 312387 442587 560139 574389 813789 937161 1064803 1327761 1508603 1680417 1723167 1978451 2441367 2803051 2811483 3194409 3983283 4525809 5041251 5935353 8409153 9583227 13577427 15985481 17806059 20231257 25227459 28663457 28749681 33008893 40732281 46766693 47956443 53418177 60693771 75682377 85990371 99026679 140300079 143869329 182081313 257971113 297080037 303724139 420900237 431607987 495549911 546243939 627168967 773913339 888567167 891240111 911172417 1262700711 1486649733 1881506901 2665701501 2733517251 4459949199 5067397477 5644520703 7997104503 8200551753 9415448309 13379847597 15202192431 16933562109 23991313509 28246344927 45606577293 84739034781 96280552063 136819731879 157089321787 254217104343 288841656189 471267965361 866524968567 1413803896083 2599574905701 2984697113953 4241411688249 8954091341859 26862274025577 80586822076731