Search a number
-
+
802208807472 = 2431031491088987
BaseRepresentation
bin10111010110001110101…
…11101111101000110000
32211200122022101210012210
423223013113233220300
5101120410423314342
61412310222452120
7111646324232652
oct13530727575060
92750568353183
10802208807472
1128a23aa5a516
1210b582134040
135a856772b47
142ab818566d2
1515d0219d79c
hexbac75efa30

802208807472 has 80 divisors (see below), whose sum is σ = 2106538387200. Its totient is φ = 263029322496.

The previous prime is 802208807467. The next prime is 802208807503. The reversal of 802208807472 is 274708802208.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 192163 + ... + 1281149.

It is an arithmetic number, because the mean of its divisors is an integer number (26331729840).

Almost surely, 2802208807472 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 802208807472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1053269193600).

802208807472 is an abundant number, since it is smaller than the sum of its proper divisors (1304329579728).

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

802208807472 is a wasteful number, since it uses less digits than its factorization.

802208807472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1089250 (or 1089244 counting only the distinct ones).

The product of its (nonzero) digits is 802816, while the sum is 48.

The spelling of 802208807472 in words is "eight hundred two billion, two hundred eight million, eight hundred seven thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 103 149 206 298 309 412 447 596 618 824 894 1192 1236 1648 1788 2384 2472 3576 4944 7152 15347 30694 46041 61388 92082 122776 184164 245552 368328 736656 1088987 2177974 3266961 4355948 6533922 8711896 13067844 17423792 26135688 52271376 112165661 162259063 224331322 324518126 336496983 448662644 486777189 649036252 672993966 897325288 973554378 1298072504 1345987932 1794650576 1947108756 2596145008 2691975864 3894217512 5383951728 7788435024 16712683489 33425366978 50138050467 66850733956 100276100934 133701467912 200552201868 267402935824 401104403736 802208807472