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2800667008080 = 243253889815289
BaseRepresentation
bin101000110000010100110…
…000110001110001010000
3100220202000022002010000200
4220300110300301301100
5331341231223224310
65542335245415200
7406225065532044
oct50602460616120
910822008063020
102800667008080
1198a835570627
1239295586a500
1317414276b386
14997a5642024
154ccb9b269c0
hex28c14c31c50

2800667008080 has 60 divisors (see below), whose sum is σ = 9405573371220. Its totient is φ = 746844535296.

The previous prime is 2800667008067. The next prime is 2800667008081. The reversal of 2800667008080 is 808007660082.

It can be written as a sum of positive squares in 2 ways, for example, as 2193408392256 + 607258615824 = 1481016^2 + 779268^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2800667008081) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1944906925 + ... + 1944908364.

It is an arithmetic number, because the mean of its divisors is an integer number (156759556187).

Almost surely, 22800667008080 is an apocalyptic number.

2800667008080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2800667008080 is an abundant number, since it is smaller than the sum of its proper divisors (6604906363140).

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

2800667008080 is a wasteful number, since it uses less digits than its factorization.

2800667008080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3889815308 (or 3889815299 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 2800667008080 in words is "two trillion, eight hundred billion, six hundred sixty-seven million, eight thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 3889815289 7779630578 11669445867 15559261156 19449076445 23338891734 31118522312 35008337601 38898152890 46677783468 58347229335 62237044624 70016675202 77796305780 93355566936 116694458670 140033350404 155592611560 175041688005 186711133872 233388917340 280066700808 311185223120 350083376010 466777834680 560133401616 700166752020 933555669360 1400333504040 2800667008080