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8000000008 = 23711131952579
BaseRepresentation
bin1110111001101011…
…00101000000001000
3202122112102002220121
413130311211000020
5112341000000013
63401455433024
7402150610120
oct73465450010
922575362817
108000000008
113435878460
121673225774
139a6543120
1455c6a7c80
1531c4ea58d
hex1dcd65008

8000000008 has 128 divisors (see below), whose sum is σ = 21200256000. Its totient is φ = 2725643520.

The previous prime is 7999999957. The next prime is 8000000011.

8000000008 is nontrivially palindromic in base 10.

8000000008 is a strobogrammatic number because it is the same when read upside-down.

It is a junction number, because it is equal to n+sod(n) for n = 7999999928 and 8000000000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 125863 + ... + 178441.

It is an arithmetic number, because the mean of its divisors is an integer number (165627000).

Almost surely, 28000000008 is an apocalyptic number.

8000000008 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8000000008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10600128000).

8000000008 is an abundant number, since it is smaller than the sum of its proper divisors (13200255992).

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

8000000008 is a wasteful number, since it uses less digits than its factorization.

8000000008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52635 (or 52631 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 8000000008 is about 89442.7191447129. The cubic root of 8000000008 is about 2000.0000006667. Note that the first 6 decimals are identical.

It can be divided in two parts, 800000000 and 8, that multiplied together give a square (6400000000 = 800002).

The spelling of 8000000008 in words is "eight billion, eight", and thus it is an aban number and an uban number.

Divisors: 1 2 4 7 8 11 13 14 19 22 26 28 38 44 52 56 76 77 88 91 104 133 143 152 154 182 209 247 266 286 308 364 418 494 532 572 616 728 836 988 1001 1064 1144 1463 1672 1729 1976 2002 2717 2926 3458 4004 5434 5852 6916 8008 10868 11704 13832 19019 21736 38038 52579 76076 105158 152152 210316 368053 420632 578369 683527 736106 999001 1156738 1367054 1472212 1998002 2313476 2734108 2944424 3996004 4048583 4626952 4784689 5468216 6993007 7518797 7992008 8097166 9569378 10989011 12987013 13986014 15037594 16194332 19138756 21978022 25974026 27972028 30075188 32388664 38277512 43956044 51948052 52631579 55944056 60150376 76923077 87912088 90909091 103896104 105263158 142857143 153846154 181818182 210526316 285714286 307692308 363636364 421052632 571428572 615384616 727272728 1000000001 1142857144 2000000002 4000000004 8000000008