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6710070816 = 2532171370521
BaseRepresentation
bin1100011111111001…
…11000111000100000
3122022122011220201100
412033330320320200
5102220234231231
63025500034400
7325165442451
oct61774707040
918278156640
106710070816
112933729579
121373232a00
1382c223007
14479249128
152941491e6
hex18ff38e20

6710070816 has 72 divisors (see below), whose sum is σ = 20204235324. Its totient is φ = 2105118720.

The previous prime is 6710070797. The next prime is 6710070817. The reversal of 6710070816 is 6180700176.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 5526435600 + 1183635216 = 74340^2 + 34404^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 (6710070817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 680365 + ... + 690156.

Almost surely, 26710070816 is an apocalyptic number.

It is an amenable number.

6710070816 is an abundant number, since it is smaller than the sum of its proper divisors (13494164508).

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

6710070816 is a wasteful number, since it uses less digits than its factorization.

6710070816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1370554 (or 1370543 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 6710070816 is about 81915.0219190595. The cubic root of 6710070816 is about 1886.1477123342.

The spelling of 6710070816 in words is "six billion, seven hundred ten million, seventy thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 272 288 306 408 544 612 816 1224 1632 2448 4896 1370521 2741042 4111563 5482084 8223126 10964168 12334689 16446252 21928336 23298857 24669378 32892504 43856672 46597714 49338756 65785008 69896571 93195428 98677512 131570016 139793142 186390856 197355024 209689713 279586284 372781712 394710048 419379426 559172568 745563424 838758852 1118345136 1677517704 2236690272 3355035408 6710070816