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80582282020 = 22529211342397
BaseRepresentation
bin100101100001100010…
…1000000101100100100
321200222220210001202201
41023003011000230210
52310013031011040
6101004033544244
75551622044552
oct1130305005444
9250886701681
1080582282020
11311a1663199
121374aa15084
1377a2968ba6
143c8622cbd2
15216968ba9a
hex12c3140b24

80582282020 has 72 divisors (see below), whose sum is σ = 176814414504. Its totient is φ = 30845294592.

The previous prime is 80582281957. The next prime is 80582282023. The reversal of 80582282020 is 2028228508.

It can be written as a sum of positive squares in 12 ways, for example, as 34590048256 + 45992233764 = 185984^2 + 214458^2 .

It is not an unprimeable number, because it can be changed into a prime (80582282023) by changing a digit.

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, 1879462 + ... + 1921858.

It is an arithmetic number, because the mean of its divisors is an integer number (2455755757).

Almost surely, 280582282020 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 80582282020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88407207252).

80582282020 is an abundant number, since it is smaller than the sum of its proper divisors (96232132484).

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

80582282020 is a wasteful number, since it uses less digits than its factorization.

80582282020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42577 (or 42546 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 37.

The spelling of 80582282020 in words is "eighty billion, five hundred eighty-two million, two hundred eighty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 29 58 113 116 145 226 290 452 565 580 841 1130 1682 2260 3277 3364 4205 6554 8410 13108 16385 16820 32770 42397 65540 84794 95033 169588 190066 211985 380132 423970 475165 847940 950330 1229513 1900660 2459026 4790861 4918052 6147565 9581722 12295130 19163444 23954305 24590260 35655877 47908610 71311754 95817220 138934969 142623508 178279385 277869938 356558770 555739876 694674845 713117540 1389349690 2778699380 4029114101 8058228202 16116456404 20145570505 40291141010 80582282020