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80504368128 = 21036107843
BaseRepresentation
bin100101011111001101…
…1110010110000000000
321200210111011122000000
41022332123302300000
52304333104240003
6100552212000000
75546654560422
oct1127633626000
9250714148000
1080504368128
1131161687348
1213728900000
13778c7891b2
143c79b4a812
1521628eb1a3
hex12be6f2c00

80504368128 has 154 divisors (see below), whose sum is σ = 241287038124. Its totient is φ = 26834540544.

The previous prime is 80504368103. The next prime is 80504368129. The reversal of 80504368128 is 82186340508.

80504368128 is a `hidden beast` number, since 80 + 504 + 3 + 68 + 1 + 2 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (80504368129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 692575 + ... + 800417.

Almost surely, 280504368128 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 80504368128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120643519062).

80504368128 is an abundant number, since it is smaller than the sum of its proper divisors (160782669996).

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

80504368128 is an equidigital number, since it uses as much as digits as its factorization.

80504368128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107881 (or 107848 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 80504368128 in words is "eighty billion, five hundred four million, three hundred sixty-eight thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 512 576 648 729 768 864 972 1024 1152 1296 1458 1536 1728 1944 2304 2592 2916 3072 3456 3888 4608 5184 5832 6912 7776 9216 10368 11664 13824 15552 20736 23328 27648 31104 41472 46656 62208 82944 93312 107843 124416 186624 215686 248832 323529 373248 431372 647058 746496 862744 970587 1294116 1725488 1941174 2588232 2911761 3450976 3882348 5176464 5823522 6901952 7764696 8735283 10352928 11647044 13803904 15529392 17470566 20705856 23294088 26205849 27607808 31058784 34941132 41411712 46588176 52411698 55215616 62117568 69882264 78617547 82823424 93176352 104823396 110431232 124235136 139764528 157235094 165646848 186352704 209646792 248470272 279529056 314470188 331293696 372705408 419293584 496940544 559058112 628940376 745410816 838587168 993881088 1118116224 1257880752 1490821632 1677174336 2236232448 2515761504 2981643264 3354348672 4472464896 5031523008 6708697344 8944929792 10063046016 13417394688 20126092032 26834789376 40252184064 80504368128