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8071722138216 = 23311236673199211
BaseRepresentation
bin111010101110101100000…
…1000010111101001101000
31001120122112012020112020210
41311131120020113221220
52024221341331410331
625100033054221120
71462106541064062
oct165353010275150
931518465215223
108071722138216
11263221a799230
12aa442b4b47a0
13467210a697b9
141dc95dca0732
15dee6d84e446
hex75758217a68

8071722138216 has 128 divisors (see below), whose sum is σ = 22974466544640. Its totient is φ = 2339267251200.

The previous prime is 8071722138211. The next prime is 8071722138247. The reversal of 8071722138216 is 6128312271708.

It is not an unprimeable number, because it can be changed into a prime (8071722138211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40418851 + ... + 40618061.

It is an arithmetic number, because the mean of its divisors is an integer number (179488019880).

Almost surely, 28071722138216 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 8071722138216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11487233272320).

8071722138216 is an abundant number, since it is smaller than the sum of its proper divisors (14902744406424).

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

8071722138216 is a wasteful number, since it uses less digits than its factorization.

8071722138216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205927 (or 205923 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 48.

The spelling of 8071722138216 in words is "eight trillion, seventy-one billion, seven hundred twenty-two million, one hundred thirty-eight thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 22 23 24 33 44 46 66 69 88 92 132 138 184 253 264 276 506 552 759 1012 1518 2024 3036 6072 6673 13346 20019 26692 40038 53384 73403 80076 146806 153479 160152 199211 220209 293612 306958 398422 440418 460437 587224 597633 613916 796844 880836 920874 1195266 1227832 1593688 1688269 1761672 1841748 2191321 2390532 3376538 3683496 4382642 4581853 4781064 5064807 6573963 6753076 8765284 9163706 10129614 13147926 13506152 13745559 17530568 18327412 20259228 26295852 27491118 36654824 40518456 50400383 52591704 54982236 100800766 109964472 151201149 201601532 302402298 403203064 604804596 1209609192 1329335003 2658670006 3988005009 5317340012 7976010018 10634680024 14622685033 15952020036 29245370066 30574705069 31904040072 43868055099 58490740132 61149410138 87736110198 91724115207 116981480264 122298820276 175472220396 183448230414 244597640552 336321755759 350944440792 366896460828 672643511518 733792921656 1008965267277 1345287023036 2017930534554 2690574046072 4035861069108 8071722138216