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6656271040 = 2651371491019
BaseRepresentation
bin1100011001011111…
…01010001011000000
3122011212221121022001
412030233222023000
5102113001133130
63020254553344
7323643241006
oct61457521300
918155847261
106656271040
112906322a51
121359208854
13821037223
14472042a76
1528e56d6ca
hex18cbea2c0

6656271040 has 112 divisors (see below), whose sum is σ = 16088868000. Its totient is φ = 2622758912.

The previous prime is 6656271031. The next prime is 6656271049. The reversal of 6656271040 is 401726566.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (6656271031) and next prime (6656271049).

It is not an unprimeable number, because it can be changed into a prime (6656271049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6531651 + ... + 6532669.

Almost surely, 26656271040 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 6656271040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8044434000).

6656271040 is an abundant number, since it is smaller than the sum of its proper divisors (9432596960).

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

6656271040 is a wasteful number, since it uses less digits than its factorization.

6656271040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1322 (or 1312 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

The square root of 6656271040 is about 81585.9733042390. The cubic root of 6656271040 is about 1881.0932829131.

The spelling of 6656271040 in words is "six billion, six hundred fifty-six million, two hundred seventy-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 137 149 160 274 298 320 548 596 685 745 1019 1096 1192 1370 1490 2038 2192 2384 2740 2980 4076 4384 4768 5095 5480 5960 8152 8768 9536 10190 10960 11920 16304 20380 20413 21920 23840 32608 40760 40826 43840 47680 65216 81520 81652 102065 139603 151831 163040 163304 204130 279206 303662 326080 326608 408260 558412 607324 653216 698015 759155 816520 1116824 1214648 1306432 1396030 1518310 1633040 2233648 2429296 2792060 3036620 3266080 4467296 4858592 5584120 6073240 6532160 8934592 9717184 11168240 12146480 20800847 22336480 24292960 41601694 44672960 48585920 83203388 104004235 166406776 208008470 332813552 416016940 665627104 832033880 1331254208 1664067760 3328135520 6656271040