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80585498800 = 24521519071471
BaseRepresentation
bin100101100001101000…
…1010010000010110000
321201000010211111100201
41023003101102002300
52310014341430200
6101004230524544
75551661303122
oct1130321220260
9251003744321
1080585498800
11311a345aa94
121374bb06754
1377a3524101
143c86829212
152169ac4c6a
hex12c34520b0

80585498800 has 120 divisors (see below), whose sum is σ = 195236329472. Its totient is φ = 31963680000.

The previous prime is 80585498657. The next prime is 80585498857. The reversal of 80585498800 is 889458508.

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 23 ways as a sum of consecutive naturals, for example, 54782065 + ... + 54783535.

Almost surely, 280585498800 is an apocalyptic number.

80585498800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80585498800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97618164736).

80585498800 is an abundant number, since it is smaller than the sum of its proper divisors (114650830672).

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

80585498800 is a wasteful number, since it uses less digits than its factorization.

80585498800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2547 (or 2536 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 55.

The spelling of 80585498800 in words is "eighty billion, five hundred eighty-five million, four hundred ninety-eight thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 151 200 302 400 604 755 907 1208 1471 1510 1814 2416 2942 3020 3628 3775 4535 5884 6040 7256 7355 7550 9070 11768 12080 14512 14710 15100 18140 22675 23536 29420 30200 36280 36775 45350 58840 60400 72560 73550 90700 117680 136957 147100 181400 222121 273914 294200 362800 444242 547828 588400 684785 888484 1095656 1110605 1334197 1369570 1776968 2191312 2221210 2668394 2739140 3423925 3553936 4442420 5336788 5478280 5553025 6670985 6847850 8884840 10673576 10956560 11106050 13341970 13695700 17769680 21347152 22212100 26683940 27391400 33354925 44424200 53367880 54782800 66709850 88848400 106735760 133419700 201463747 266839400 402927494 533678800 805854988 1007318735 1611709976 2014637470 3223419952 4029274940 5036593675 8058549880 10073187350 16117099760 20146374700 40292749400 80585498800