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82380430685456 = 24611033104977893
BaseRepresentation
bin10010101110110010110000…
…010011101011010100010000
3101210200111021212011001201022
4102232302300103223110100
541244210110223413311
6451113014123255012
723231534604106301
oct2256626023532420
9353614255131638
1082380430685456
11242813875176a2
1292a5a6767a468
1336c7597653557
14164b33c5d27a8
1597cd862b95db
hex4aecb04eb510

82380430685456 has 80 divisors (see below), whose sum is σ = 162542609367600. Its totient is φ = 40436641013760.

The previous prime is 82380430685437. The next prime is 82380430685459. The reversal of 82380430685456 is 65458603408328.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 13589662925056 + 68790767760400 = 3686416^2 + 8294020^2 .

It is not an unprimeable number, because it can be changed into a prime (82380430685459) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1057571246 + ... + 1057649138.

It is an arithmetic number, because the mean of its divisors is an integer number (2031782617095).

Almost surely, 282380430685456 is an apocalyptic number.

It is an amenable number.

82380430685456 is a deficient number, since it is larger than the sum of its proper divisors (80162178682144).

82380430685456 is a wasteful number, since it uses less digits than its factorization.

82380430685456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80044 (or 80038 counting only the distinct ones).

The product of its (nonzero) digits is 132710400, while the sum is 62.

The spelling of 82380430685456 in words is "eighty-two trillion, three hundred eighty billion, four hundred thirty million, six hundred eighty-five thousand, four hundred fifty-six".

Divisors: 1 2 4 8 16 61 122 244 488 976 1033 1049 2066 2098 4132 4196 8264 8392 16528 16784 63013 63989 77893 126026 127978 155786 252052 255956 311572 504104 511912 623144 1008208 1023824 1083617 1246288 2167234 4334468 4751473 8668936 9502946 17337872 19005892 38011784 66100637 76023568 80463469 81709757 132201274 160926938 163419514 264402548 321853876 326839028 528805096 643707752 653678056 1057610192 1287415504 1307356112 4908271609 4984295177 9816543218 9968590354 19633086436 19937180708 39266172872 39874361416 78532345744 79748722832 84406178981 168812357962 337624715924 675249431848 1350498863696 5148776917841 10297553835682 20595107671364 41190215342728 82380430685456