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292668730201 = 19672776011381
BaseRepresentation
bin1000100001001000110…
…10100110101101011001
31000222102120211221020001
410100210122212231121
514243341143331301
6342241122333001
730100414106041
oct4204432465531
91028376757201
10292668730201
11103135960841
124887a1ba161
13217a1cc9c43
14102455d2721
15792dc5ac01
hex44246a6b59

292668730201 has 32 divisors (see below), whose sum is σ = 314548949120. Its totient is φ = 271491264000.

The previous prime is 292668730199. The next prime is 292668730213. The reversal of 292668730201 is 102037866292.

292668730201 is a nontrivial binomial coefficient, being equal to C(765074, 2).

It is a 3-Lehmer number, since φ(292668730201) divides (292668730201-1)3.

It is a cyclic number.

It is a Carmichael number.

It is not a de Polignac number, because 292668730201 - 21 = 292668730199 is a prime.

It is a deceptive number, since it divides R292668730200.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (292668730261) 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 31 ways as a sum of consecutive naturals, for example, 211924531 + ... + 211925911.

It is an arithmetic number, because the mean of its divisors is an integer number (9829654660).

It is a Poulet number, since it divides 2292668730200-1.

Almost surely, 2292668730201 is an apocalyptic number.

292668730201 is the 765073-rd triangular number and also the 382537-th hexagonal number.

292668730201 is the 255025-th centered nonagonal number.

It is an amenable number.

292668730201 is a deficient number, since it is larger than the sum of its proper divisors (21880218919).

292668730201 is a wasteful number, since it uses less digits than its factorization.

292668730201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2345.

The product of its (nonzero) digits is 435456, while the sum is 46.

The spelling of 292668730201 in words is "two hundred ninety-two billion, six hundred sixty-eight million, seven hundred thirty thousand, two hundred one".

Divisors: 1 19 67 277 601 1273 1381 5263 11419 18559 26239 40267 92527 166477 352621 382537 765073 829981 1758013 3163063 7268203 11153959 15769639 25629979 55608727 211925221 229904737 486969601 1056565813 4368190003 15403617379 292668730201