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4069660675600 = 245213277592
BaseRepresentation
bin111011001110001010101…
…011011100111000010000
3112102001111122112200020101
4323032022223130320100
51013134131113104400
612353324252022144
7600010661660602
oct73161253347020
915361448480211
104069660675600
111329a2a3a0253
12558889161954
132369c8b57100
14100d88c67172
1570cdb8e056a
hex3b38aadce10

4069660675600 has 135 divisors (see below), whose sum is σ = 10588683267783. Its totient is φ = 1502450277120.

The previous prime is 4069660675559. The next prime is 4069660675601. The reversal of 4069660675600 is 65760669604.

The square root of 4069660675600 is 2017340.

It is a perfect power (a square), and thus also a powerful number.

4069660675600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1048961059344 + 3020699616256 = 1024188^2 + 1738016^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4069660675601) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 524504521 + ... + 524512279.

Almost surely, 24069660675600 is an apocalyptic number.

4069660675600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4069660675600 is the 2017340-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4069660675600

4069660675600 is an abundant number, since it is smaller than the sum of its proper divisors (6519022592183).

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

4069660675600 is an frugal number, since it uses more digits than its factorization.

4069660675600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15562 (or 7779 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 55.

The spelling of 4069660675600 in words is "four trillion, sixty-nine billion, six hundred sixty million, six hundred seventy-five thousand, six hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 130 169 200 208 260 325 338 400 520 650 676 845 1040 1300 1352 1690 2600 2704 3380 4225 5200 6760 7759 8450 13520 15518 16900 31036 33800 38795 62072 67600 77590 100867 124144 155180 193975 201734 310360 387950 403468 504335 620720 775900 806936 1008670 1311271 1551800 1613872 2017340 2521675 2622542 3103600 4034680 5043350 5245084 6556355 8069360 10086700 10490168 13112710 20173400 20980336 26225420 32781775 40346800 52450840 60202081 65563550 104901680 120404162 131127100 240808324 262254200 301010405 481616648 524508400 602020810 782627053 963233296 1204041620 1505052025 1565254106 2408083240 3010104050 3130508212 3913135265 4816166480 6020208100 6261016424 7826270530 10174151689 12040416200 12522032848 15652541060 19565676325 20348303378 24080832400 31305082120 39131352650 40696606756 50870758445 62610164240 78262705300 81393213512 101741516890 156525410600 162786427024 203483033780 254353792225 313050821200 406966067560 508707584450 813932135120 1017415168900 2034830337800 4069660675600