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6506900080 = 245417127941
BaseRepresentation
bin1100000111101011…
…10110101001110000
3121210110212202212021
412003311312221300
5101311231300310
62553401241224
7320150511112
oct60365665160
917713782767
106506900080
112839a8037a
121317193214
137c90c8745
1445a27d3b2
152813b55da
hex183d76a70

6506900080 has 80 divisors (see below), whose sum is σ = 15716369088. Its totient is φ = 2503424000.

The previous prime is 6506900021. The next prime is 6506900107. The reversal of 6506900080 is 800096056.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×65069000802 = 84679497302208012800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 218910 + ... + 246850.

Almost surely, 26506900080 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 6506900080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7858184544).

6506900080 is an abundant number, since it is smaller than the sum of its proper divisors (9209469008).

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

6506900080 is a wasteful number, since it uses less digits than its factorization.

6506900080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28066 (or 28060 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 34.

The square root of 6506900080 is about 80665.3586119841. The cubic root of 6506900080 is about 1866.9157198874.

The spelling of 6506900080 in words is "six billion, five hundred six million, nine hundred thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 40 41 71 80 82 142 164 205 284 328 355 410 568 656 710 820 1136 1420 1640 2840 2911 3280 5680 5822 11644 14555 23288 27941 29110 46576 55882 58220 111764 116440 139705 223528 232880 279410 447056 558820 1117640 1145581 1983811 2235280 2291162 3967622 4582324 5727905 7935244 9164648 9919055 11455810 15870488 18329296 19838110 22911620 31740976 39676220 45823240 79352440 81336251 91646480 158704880 162672502 325345004 406681255 650690008 813362510 1301380016 1626725020 3253450040 6506900080