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80816076705 = 35713173739337
BaseRepresentation
bin100101101000100000…
…0110111011110100001
321201121012201001210010
41023101000313132201
52311002403423310
6101043144555133
75560461213660
oct1132100673641
9251535631703
1080816076705
1131301628641
12137b5182aa9
13780c226440
143ca92cadd7
15217ee6e320
hex12d10377a1

80816076705 has 128 divisors (see below), whose sum is σ = 168976862208. Its totient is φ = 32007094272.

The previous prime is 80816076673. The next prime is 80816076707. The reversal of 80816076705 is 50767061808.

It is not a de Polignac number, because 80816076705 - 25 = 80816076673 is a prime.

It is not an unprimeable number, because it can be changed into a prime (80816076707) 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 127 ways as a sum of consecutive naturals, for example, 8650797 + ... + 8660133.

It is an arithmetic number, because the mean of its divisors is an integer number (1320131736).

Almost surely, 280816076705 is an apocalyptic number.

80816076705 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

80816076705 is an abundant number, since it is smaller than the sum of its proper divisors (88160785503).

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

80816076705 is a wasteful number, since it uses less digits than its factorization.

80816076705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9755.

The product of its (nonzero) digits is 564480, while the sum is 48.

The spelling of 80816076705 in words is "eighty billion, eight hundred sixteen million, seventy-six thousand, seven hundred five".

Divisors: 1 3 5 7 13 15 17 21 35 39 51 65 85 91 105 119 195 221 255 273 357 373 455 595 663 1105 1119 1365 1547 1785 1865 2611 3315 4641 4849 5595 6341 7735 7833 9337 13055 14547 19023 23205 24245 28011 31705 33943 39165 44387 46685 65359 72735 82433 95115 101829 121381 133161 140055 158729 169715 196077 221935 247299 326795 364143 412165 476187 509145 577031 606905 665805 793645 849667 980385 1111103 1236495 1731093 1820715 2063477 2380935 2549001 2885155 3333309 3482701 4248335 5555515 6190431 8655465 10317385 10448103 12745005 14444339 16666545 17413505 24378907 30952155 43333017 45275113 52240515 59205917 72221695 73136721 121894535 135825339 177617751 216665085 226375565 296029585 316925791 365683605 414441419 679126695 769676921 888088755 950777373 1243324257 1584628955 2072207095 2309030763 3848384605 4753886865 5387738447 6216621285 11545153815 16163215341 26938692235 80816076705