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80240317628416 = 21611231812
BaseRepresentation
bin10010001111101001100111…
…101000010000000000000000
3101112002220021200212102220021
4102033221213220100000000
541004124132303102131
6442353520521223224
722621112605215451
oct2217514750200000
9345086250772807
1080240317628416
1123626800493300
128bbb140031b14
1335a0824c9454a
1415b591b4c5128
1594237c6d6e11
hex48fa67a10000

80240317628416 has 153 divisors (see below), whose sum is σ = 176450194396749. Its totient is φ = 36461405798400.

The previous prime is 80240317628389. The next prime is 80240317628423. The reversal of 80240317628416 is 61482671304208.

The square root of 80240317628416 is 8957696.

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

It can be written as a sum of positive squares in only one way, i.e., 5988317986816 + 74251999641600 = 2447104^2 + 8616960^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 25224870346 + ... + 25224873526.

Almost surely, 280240317628416 is an apocalyptic number.

80240317628416 is the 8957696-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80240317628416

80240317628416 is an abundant number, since it is smaller than the sum of its proper divisors (96209876768333).

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

80240317628416 is an frugal number, since it uses more digits than its factorization.

80240317628416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6416 (or 3194 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 52.

The spelling of 80240317628416 in words is "eighty trillion, two hundred forty billion, three hundred seventeen million, six hundred twenty-eight thousand, four hundred sixteen".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 256 352 484 512 704 968 1024 1408 1936 2048 2816 3181 3872 4096 5632 6362 7744 8192 11264 12724 15488 16384 22528 25448 30976 32768 34991 45056 50896 61952 65536 69982 90112 101792 123904 139964 180224 203584 247808 279928 360448 384901 407168 495616 559856 720896 769802 814336 991232 1119712 1539604 1628672 1982464 2239424 3079208 3257344 3964928 4478848 6158416 6514688 7929856 8957696 10118761 12316832 13029376 17915392 20237522 24633664 26058752 35830784 40475044 49267328 52117504 71661568 80950088 98534656 104235008 111306371 143323136 161900176 197069312 208470016 222612742 286646272 323800352 394138624 445225484 573292544 647600704 788277248 890450968 1146585088 1224370081 1295201408 1576554496 1780901936 2293170176 2448740162 2590402816 3153108992 3561803872 4897480324 5180805632 6306217984 7123607744 9794960648 10361611264 12612435968 14247215488 19589921296 20723222528 25224871936 28494430976 39179842592 41446445056 56988861952 78359685184 82892890112 113977723904 156719370368 165785780224 227955447808 313438740736 331571560448 455910895616 626877481472 663143120896 911821791232 1253754962944 1823643582464 2507509925888 3647287164928 5015019851776 7294574329856 10030039703552 20060079407104 40120158814208 80240317628416