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80585263808 = 2672232413347
BaseRepresentation
bin100101100001101000…
…0011000101011000000
321201000010101120000022
41023003100120223000
52310014311420213
6101004221513012
75551656304040
oct1130320305300
9251003346008
1080585263808
11311a330a485
121374ba12768
1377a347116a
143c867a7720
152169a7a308
hex12c3418ac0

80585263808 has 112 divisors (see below), whose sum is σ = 184392198144. Its totient is φ = 34228776960.

The previous prime is 80585263763. The next prime is 80585263813. The reversal of 80585263808 is 80836258508.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 80585263808.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24075191 + ... + 24078537.

It is an arithmetic number, because the mean of its divisors is an integer number (1646358912).

Almost surely, 280585263808 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 80585263808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92196099072).

80585263808 is an abundant number, since it is smaller than the sum of its proper divisors (103806934336).

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

80585263808 is a wasteful number, since it uses less digits than its factorization.

80585263808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3830 (or 3820 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 53.

The spelling of 80585263808 in words is "eighty billion, five hundred eighty-five million, two hundred sixty-three thousand, eight hundred eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 223 224 241 446 448 482 892 964 1561 1687 1784 1928 3122 3347 3374 3568 3856 6244 6694 6748 7136 7712 12488 13388 13496 14272 15424 23429 24976 26776 26992 46858 49952 53552 53743 53984 93716 99904 107104 107486 107968 187432 214208 214972 374864 376201 429944 746381 749728 752402 806627 859888 1492762 1499456 1504804 1613254 1719776 2985524 3009608 3226508 3439552 5224667 5646389 5971048 6019216 6453016 10449334 11292778 11942096 12038432 12906032 20898668 22585556 23884192 24076864 25812064 41797336 45171112 47768384 51624128 83594672 90342224 167189344 179877821 180684448 334378688 359755642 361368896 719511284 1259144747 1439022568 2518289494 2878045136 5036578988 5756090272 10073157976 11512180544 20146315952 40292631904 80585263808