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6765606016 = 27134099941
BaseRepresentation
bin1100100110100001…
…01111010010000000
3122110111200101200121
412103100233102000
5102323443343031
63035202230024
7326441462611
oct62320572200
918414611617
106765606016
11296200aa34
121389955314
1383a898990
14482783c08
15298e69011
hex19342f480

6765606016 has 64 divisors (see below), whose sum is σ = 14552105400. Its totient is φ = 3114639360.

The previous prime is 6765606007. The next prime is 6765606017. The reversal of 6765606016 is 6106065676.

It can be written as a sum of positive squares in 4 ways, for example, as 3758180416 + 3007425600 = 61304^2 + 54840^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (6765606017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 675606 + ... + 685546.

Almost surely, 26765606016 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 6765606016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7276052700).

6765606016 is an abundant number, since it is smaller than the sum of its proper divisors (7786499384).

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

6765606016 is a wasteful number, since it uses less digits than its factorization.

6765606016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10377 (or 10365 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 43.

The square root of 6765606016 is about 82253.3039822717. The cubic root of 6765606016 is about 1891.3369240545.

The spelling of 6765606016 in words is "six billion, seven hundred sixty-five million, six hundred six thousand, sixteen".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 409 416 818 832 1636 1664 3272 5317 6544 9941 10634 13088 19882 21268 26176 39764 42536 52352 79528 85072 129233 159056 170144 258466 318112 340288 516932 636224 680576 1033864 1272448 2067728 4065869 4135456 8131738 8270912 16263476 16541824 32526952 52856297 65053904 105712594 130107808 211425188 260215616 422850376 520431232 845700752 1691401504 3382803008 6765606016