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661006665 = 3251121737193
BaseRepresentation
bin100111011001100…
…010100101001001
31201001210121200100
4213121202211021
52323204203130
6145331400013
722244315064
oct4731424511
91631717610
10661006665
1130a137100
12165453009
13a6c38b07
1463b078db
153d06dc60
hex27662949

661006665 has 144 divisors (see below), whose sum is σ = 1376588304. Its totient is φ = 291962880.

The previous prime is 661006651. The next prime is 661006673. The reversal of 661006665 is 566600166.

It can be written as a sum of positive squares in 8 ways, for example, as 18688329 + 642318336 = 4323^2 + 25344^2 .

It is not a de Polignac number, because 661006665 - 26 = 661006601 is a prime.

It is a super-2 number, since 2×6610066652 = 873859622348844450, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3424809 + ... + 3425001.

It is an arithmetic number, because the mean of its divisors is an integer number (9559641).

Almost surely, 2661006665 is an apocalyptic number.

It is an amenable number.

661006665 is an abundant number, since it is smaller than the sum of its proper divisors (715581639).

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

661006665 is a wasteful number, since it uses less digits than its factorization.

661006665 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 661006665 is about 25710.0498832655. The cubic root of 661006665 is about 871.1012016827.

The spelling of 661006665 in words is "six hundred sixty-one million, six thousand, six hundred sixty-five".

Divisors: 1 3 5 9 11 15 17 33 37 45 51 55 85 99 111 121 153 165 185 187 193 255 333 363 407 495 555 561 579 605 629 765 935 965 1089 1221 1665 1683 1737 1815 1887 2035 2057 2123 2805 2895 3145 3281 3663 4477 5445 5661 6105 6171 6369 6919 7141 8415 8685 9435 9843 10285 10615 13431 16405 18315 18513 19107 20757 21423 22385 23353 28305 29529 30855 31845 34595 35705 36091 40293 49215 62271 64269 67155 70059 76109 78551 92565 95535 103785 107115 108273 116765 121397 147645 180455 201465 210177 228327 235653 311355 321345 324819 350295 364191 380545 392755 397001 541365 606985 684981 706959 864061 1050885 1092573 1141635 1178265 1191003 1335367 1624095 1820955 1985005 2592183 3424905 3534795 3573009 4006101 4320305 5462865 5955015 6676835 7776549 12018303 12960915 14689037 17865045 20030505 38882745 44067111 60091515 73445185 132201333 220335555 661006665