Search a number
-
+
54622522522645 = 57211193230333023
BaseRepresentation
bin11000110101101110011000…
…00011010011110000010101
321011101212021111210201100121
430122313030003103300111
524124413411231211040
6312101123533311541
714335230012521500
oct1432671403236025
9234355244721317
1054622522522645
111644a310a59930
1261622643355b1
132462b6033a68c
14d6ba5c108137
1564acccdccc4a
hex31adcc0d3c15

54622522522645 has 96 divisors (see below), whose sum is σ = 87563542855680. Its totient is φ = 32256301714560.

The previous prime is 54622522522619. The next prime is 54622522522661.

54622522522645 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2k-54622522522645 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 54622522522592 and 54622522522601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1654058604 + ... + 1654091626.

It is an arithmetic number, because the mean of its divisors is an integer number (912120238080).

Almost surely, 254622522522645 is an apocalyptic number.

54622522522645 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54622522522645 is a deficient number, since it is larger than the sum of its proper divisors (32941020333035).

54622522522645 is a wasteful number, since it uses less digits than its factorization.

54622522522645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65375 (or 65368 counting only the distinct ones).

The product of its digits is 23040000, while the sum is 52.

It can be divided in two parts, 5462252 and 2522645, that added together give a palindrome (7984897).

The spelling of 54622522522645 in words is "fifty-four trillion, six hundred twenty-two billion, five hundred twenty-two million, five hundred twenty-two thousand, six hundred forty-five".

Divisors: 1 5 7 11 19 35 49 55 77 95 133 209 245 385 539 665 931 1045 1463 2695 4655 7315 10241 32303 33023 51205 161515 165115 226121 231161 355333 363253 613757 627437 1130605 1155805 1582847 1618127 1776665 1816265 2487331 2542771 3068785 3137185 4296299 4392059 6751327 6901807 7914235 8090635 12436655 12713855 17411317 17799397 21481495 21960295 30074093 30744413 33756635 34509035 47259289 48312649 87056585 88996985 150370465 153722065 236296445 241563245 330815023 338188543 1066741969 1654075115 1690942715 5333709845 7467193783 11734161659 20268097411 37335968915 52270356481 58670808295 82139131613 101340487055 141876681877 222949071521 261351782405 410695658065 574973921291 709383409385 993136773139 1114745357605 1560643500647 2874869606455 4965683865695 7803217503235 10924504504529 54622522522645