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80908389136 = 24172472892
BaseRepresentation
bin100101101011010000…
…1000000101100010000
321201211122102000122001
41023112201000230100
52311200021423021
6101100243323344
75562661650301
oct1132641005420
9251748360561
1080908389136
1131349749303
1213820080554
1378253a7a93
143cb767a7a8
152188106091
hex12d6840b10

80908389136 has 135 divisors (see below), whose sum is σ = 172075230559. Its totient is φ = 36845737984.

The previous prime is 80908389113. The next prime is 80908389169. The reversal of 80908389136 is 63198380908.

It is a happy number.

The square root of 80908389136 is 284444.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 106915600 + 80801473536 = 10340^2 + 284256^2 .

It is a Duffinian number.

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 26 ways as a sum of consecutive naturals, for example, 909082980 + ... + 909083068.

Almost surely, 280908389136 is an apocalyptic number.

80908389136 is the 284444-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80908389136

80908389136 is an abundant number, since it is smaller than the sum of its proper divisors (91166841423).

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

80908389136 is an equidigital number, since it uses as much as digits as its factorization.

80908389136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 55.

The spelling of 80908389136 in words is "eighty billion, nine hundred eight million, three hundred eighty-nine thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 17 34 47 68 89 94 136 178 188 272 289 356 376 578 712 752 799 1156 1424 1513 1598 2209 2312 3026 3196 4183 4418 4624 6052 6392 7921 8366 8836 12104 12784 13583 15842 16732 17672 24208 25721 27166 31684 33464 35344 37553 51442 54332 63368 66928 71111 75106 102884 108664 126736 134657 142222 150212 196601 205768 217328 269314 284444 300424 372287 393202 411536 538628 568888 600848 638401 744574 786404 1077256 1137776 1208887 1276802 1489148 1572808 2154512 2289169 2417774 2553604 2978296 3145616 3342217 4578338 4835548 5107208 5956592 6328879 6684434 9156676 9671096 10214416 12657758 13368868 17497489 18313352 19342192 25315516 26737736 34994978 36626704 50631032 53475472 56817689 69989956 101262064 107590943 113635378 139979912 215181886 227270756 279959824 297457313 430363772 454541512 594914626 860727544 909083024 1189829252 1721455088 2379658504 4759317008 5056774321 10113548642 20227097284 40454194568 80908389136