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805958052864 = 21032571020841
BaseRepresentation
bin10111011101001101101…
…01111110110000000000
32212001022121021012000020
423232212311332300000
5101201100230142424
61414130234053440
7112141251262356
oct13564665766000
92761277235006
10805958052864
11290894345028
1211024987a280
135b003449543
142b0197757d6
1515e713e1079
hexbba6d7ec00

805958052864 has 88 divisors (see below), whose sum is σ = 2156532808368. Its totient is φ = 267607080960.

The previous prime is 805958052863. The next prime is 805958052989. The reversal of 805958052864 is 468250859508.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 805958052798 and 805958052807.

It is not an unprimeable number, because it can be changed into a prime (805958052863) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 279084 + ... + 1299924.

Almost surely, 2805958052864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 805958052864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1078266404184).

805958052864 is an abundant number, since it is smaller than the sum of its proper divisors (1350574755504).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

805958052864 is a wasteful number, since it uses less digits than its factorization.

805958052864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1021121 (or 1021103 counting only the distinct ones).

The product of its (nonzero) digits is 27648000, while the sum is 60.

The spelling of 805958052864 in words is "eight hundred five billion, nine hundred fifty-eight million, fifty-two thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 257 384 512 514 768 771 1024 1028 1536 1542 2056 3072 3084 4112 6168 8224 12336 16448 24672 32896 49344 65792 98688 131584 197376 263168 394752 789504 1020841 2041682 3062523 4083364 6125046 8166728 12250092 16333456 24500184 32666912 49000368 65333824 98000736 130667648 196001472 261335296 262356137 392002944 522670592 524712274 784005888 787068411 1045341184 1049424548 1568011776 1574136822 2098849096 3136023552 3148273644 4197698192 6296547288 8395396384 12593094576 16790792768 25186189152 33581585536 50372378304 67163171072 100744756608 134326342144 201489513216 268652684288 402979026432 805958052864