Search a number
-
+
27742499784362 = 2113191374003717
BaseRepresentation
bin1100100111011010011011…
…10110000100011010101010
310122020011020111202121202102
412103231031312010122222
512114013114421044422
6135000421202533402
75562221002226366
oct623551566043252
9118204214677672
1027742499784362
118926589979000
123140823067262
13126314ccb3a9c
146bca5bd5c2a6
153319a580b192
hex193b4dd846aa

27742499784362 has 64 divisors (see below), whose sum is σ = 48532749298560. Its totient is φ = 11859327089280.

The previous prime is 27742499784341. The next prime is 27742499784367. The reversal of 27742499784362 is 26348799424772.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 27742499784362.

It is not an unprimeable number, because it can be changed into a prime (27742499784367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4927328 + ... + 8931044.

It is an arithmetic number, because the mean of its divisors is an integer number (758324207790).

Almost surely, 227742499784362 is an apocalyptic number.

27742499784362 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

27742499784362 is a deficient number, since it is larger than the sum of its proper divisors (20790249514198).

27742499784362 is a wasteful number, since it uses less digits than its factorization.

27742499784362 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4003908 (or 4003886 counting only the distinct ones).

The product of its digits is 2048385024, while the sum is 74.

The spelling of 27742499784362 in words is "twenty-seven trillion, seven hundred forty-two billion, four hundred ninety-nine million, seven hundred eighty-four thousand, three hundred sixty-two".

Divisors: 1 2 11 19 22 38 121 137 209 242 274 418 1331 1507 2299 2603 2662 3014 4598 5206 16577 25289 28633 33154 50578 57266 182347 314963 364694 629926 3464593 4003717 6929186 8007434 44040887 76070623 88081774 152141246 484449757 548509229 836776853 968899514 1097018458 1673553706 5328947327 6033601519 9204545383 10421675351 10657894654 12067203038 18409090766 20843350702 66369616709 101249999213 114638428861 132739233418 202499998426 229276857722 730065783799 1261022717471 1460131567598 2522045434942 13871249892181 27742499784362