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80209427616 = 25323759127579
BaseRepresentation
bin100101010110011011…
…0101011110010100000
321200000221012002200100
41022230312223302200
52303232103140431
6100503034222400
75536443612513
oct1125466536240
9250027162610
1080209427616
113102014915a
1213665b84a00
137743640296
143c4c8d2d7a
152146a8b4e6
hex12acdabca0

80209427616 has 144 divisors (see below), whose sum is σ = 238232685600. Its totient is φ = 25572754944.

The previous prime is 80209427581. The next prime is 80209427647. The reversal of 80209427616 is 61672490208.

It is a happy number.

80209427616 is a `hidden beast` number, since 8 + 0 + 2 + 0 + 9 + 4 + 27 + 616 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 564915 + ... + 692493.

It is an arithmetic number, because the mean of its divisors is an integer number (1654393650).

Almost surely, 280209427616 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 80209427616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119116342800).

80209427616 is an abundant number, since it is smaller than the sum of its proper divisors (158023257984).

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

80209427616 is a wasteful number, since it uses less digits than its factorization.

80209427616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127691 (or 127680 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 80209427616 in words is "eighty billion, two hundred nine million, four hundred twenty-seven thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 59 72 74 96 111 118 144 148 177 222 236 288 296 333 354 444 472 531 592 666 708 888 944 1062 1184 1332 1416 1776 1888 2124 2183 2664 2832 3552 4248 4366 5328 5664 6549 8496 8732 10656 13098 16992 17464 19647 26196 34928 39294 52392 69856 78588 104784 127579 157176 209568 255158 314352 382737 510316 628704 765474 1020632 1148211 1530948 2041264 2296422 3061896 4082528 4592844 4720423 6123792 7527161 9185688 9440846 12247584 14161269 15054322 18371376 18881692 22581483 28322538 30108644 36742752 37763384 42483807 45162966 56645076 60217288 67744449 75526768 84967614 90325932 113290152 120434576 135488898 151053536 169935228 180651864 226580304 240869152 270977796 278504957 339870456 361303728 453160608 541955592 557009914 679740912 722607456 835514871 1083911184 1114019828 1359481824 1671029742 2167822368 2228039656 2506544613 3342059484 4456079312 5013089226 6684118968 8912158624 10026178452 13368237936 20052356904 26736475872 40104713808 80209427616