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7009730208 = 2532133894813
BaseRepresentation
bin1101000011100111…
…11111111010100000
3200002112001012010100
412201303333322200
5103323442331313
63115322502400
7335464503135
oct64163777240
920075035110
107009730208
112a778a0068
121437664a00
13879331a70
144a6d7058c
152b05dc173
hex1a1cffea0

7009730208 has 144 divisors (see below), whose sum is σ = 21526956360. Its totient is φ = 2150848512.

The previous prime is 7009730201. The next prime is 7009730227. The reversal of 7009730208 is 8020379007.

It can be written as a sum of positive squares in 4 ways, for example, as 4795839504 + 2213890704 = 69252^2 + 47052^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (7009730201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1454010 + ... + 1458822.

Almost surely, 27009730208 is an apocalyptic number.

7009730208 is a gapful number since it is divisible by the number (78) 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 7009730208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10763478180).

7009730208 is an abundant number, since it is smaller than the sum of its proper divisors (14517226152).

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

7009730208 is a wasteful number, since it uses less digits than its factorization.

7009730208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5231 (or 5220 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 7009730208 is about 83724.1315750722. The cubic root of 7009730208 is about 1913.8171161363.

The spelling of 7009730208 in words is "seven billion, nine million, seven hundred thirty thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 389 416 468 624 778 936 1167 1248 1556 1872 2334 3112 3501 3744 4668 4813 5057 6224 7002 9336 9626 10114 12448 14004 14439 15171 18672 19252 20228 28008 28878 30342 37344 38504 40456 43317 45513 56016 57756 60684 62569 77008 80912 86634 91026 112032 115512 121368 125138 154016 161824 173268 182052 187707 231024 242736 250276 346536 364104 375414 462048 485472 500552 563121 693072 728208 750828 1001104 1126242 1386144 1456416 1501656 1872257 2002208 2252484 3003312 3744514 4504968 5616771 6006624 7489028 9009936 11233542 14978056 16850313 18019872 22467084 24339341 29956112 33700626 44934168 48678682 59912224 67401252 73018023 89868336 97357364 134802504 146036046 179736672 194714728 219054069 269605008 292072092 389429456 438108138 539210016 584144184 778858912 876216276 1168288368 1752432552 2336576736 3504865104 7009730208