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5670066906 = 234719972713
BaseRepresentation
bin1010100011111011…
…00101101011011010
3112122011020020120000
411101331211223122
543103014120111
62334345113430
7260336526210
oct52175455332
915564206500
105670066906
11244a672209
121122a88876
136c491a59a
143bb086cb0
15232bb4c56
hex151f65ada

5670066906 has 160 divisors (see below), whose sum is σ = 15447653760. Its totient is φ = 1518372864.

The previous prime is 5670066901. The next prime is 5670066917. The reversal of 5670066906 is 6096600765.

It is not an unprimeable number, because it can be changed into a prime (5670066901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2088606 + ... + 2091318.

It is an arithmetic number, because the mean of its divisors is an integer number (96547836).

Almost surely, 25670066906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5670066906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7723826880).

5670066906 is an abundant number, since it is smaller than the sum of its proper divisors (9777586854).

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

5670066906 is a wasteful number, since it uses less digits than its factorization.

5670066906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2850 (or 2841 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 5670066906 is about 75299.8466532303. The cubic root of 5670066906 is about 1783.1835996293.

The spelling of 5670066906 in words is "five billion, six hundred seventy million, sixty-six thousand, nine hundred six".

Divisors: 1 2 3 6 7 9 14 18 19 21 27 38 42 54 57 63 81 97 114 126 133 162 171 189 194 266 291 342 378 399 513 567 582 679 798 873 1026 1134 1197 1358 1539 1746 1843 2037 2394 2619 2713 3078 3591 3686 4074 5238 5426 5529 6111 7182 7857 8139 10773 11058 12222 12901 15714 16278 16587 18333 18991 21546 24417 25802 33174 36666 37982 38703 48834 49761 51547 54999 56973 73251 77406 99522 103094 109998 113946 116109 146502 149283 154641 170919 219753 232218 263161 298566 309282 341838 348327 360829 439506 463923 512757 526322 696654 721658 789483 927846 1025514 1044981 1082487 1391769 1538271 1578966 1842127 2089962 2164974 2368449 2783538 3076542 3247461 3684254 4175307 4736898 5000059 5526381 6494922 7105347 8350614 9742383 10000118 11052762 14210694 15000177 16579143 19484766 21316041 29227149 30000354 33158286 35000413 42632082 45000531 49737429 58454298 70000826 90001062 99474858 105001239 135001593 149212287 210002478 270003186 298424574 315003717 405004779 630007434 810009558 945011151 1890022302 2835033453 5670066906