Search a number
-
+
53366066334 = 23274127138119
BaseRepresentation
bin110001101100110111…
…011000110010011110
312002202011200001120100
4301230313120302132
51333243203110314
640303244001530
73566314036140
oct615467306236
9162664601510
1053366066334
11206a5831559
12a4142302a6
135056244259
1428237c6c90
1515c5147c09
hexc6cdd8c9e

53366066334 has 96 divisors (see below), whose sum is σ = 135870658560. Its totient is φ = 14820278400.

The previous prime is 53366066321. The next prime is 53366066353. The reversal of 53366066334 is 43366066335.

53366066334 is a `hidden beast` number, since 5 + 3 + 3 + 6 + 6 + 0 + 6 + 633 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 53366066334.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1380927 + ... + 1419045.

It is an arithmetic number, because the mean of its divisors is an integer number (1415319360).

Almost surely, 253366066334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53366066334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67935329280).

53366066334 is an abundant number, since it is smaller than the sum of its proper divisors (82504592226).

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

53366066334 is a wasteful number, since it uses less digits than its factorization.

53366066334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38446 (or 38443 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 45.

Subtracting from 53366066334 its reverse (43366066335), we obtain a palindrome (9999999999).

The spelling of 53366066334 in words is "fifty-three billion, three hundred sixty-six million, sixty-six thousand, three hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 41 42 63 82 123 126 246 271 287 369 542 574 738 813 861 1626 1722 1897 2439 2583 3794 4878 5166 5691 11111 11382 17073 22222 33333 34146 38119 66666 76238 77777 99999 114357 155554 199998 228714 233331 266833 343071 466662 533666 686142 699993 800499 1399986 1562879 1600998 2401497 3125758 4688637 4802994 9377274 10330249 10940153 14065911 20660498 21880306 28131822 30990747 32820459 61981494 65640918 72311743 92972241 98461377 144623486 185944482 196922754 216935229 423540209 433870458 650805687 847080418 1270620627 1301611374 2541241254 2964781463 3811861881 5929562926 7623723762 8894344389 17788688778 26683033167 53366066334