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655165424561556 = 2231722735447399131
BaseRepresentation
bin1001010011110111101001011…
…0011001100110110110010100
310011220202012110220122222210110
42110331322112121212312110
51141333212242141432211
610241230501352523020
7255000065660224056
oct22475722631466624
93156665426588713
10655165424561556
1117a835107046077
12615935470b0470
1322175ab03503bc
14b7b026634d8d6
1550b2552358ea6
hex253de96666d94

655165424561556 has 96 divisors (see below), whose sum is σ = 1625824518700032. Its totient is φ = 204630336478720.

The previous prime is 655165424561413. The next prime is 655165424561579.

655165424561556 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×6551654245615562 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1641280111 + ... + 1641679241.

It is an arithmetic number, because the mean of its divisors is an integer number (16935672069792).

Almost surely, 2655165424561556 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 655165424561556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (812912259350016).

655165424561556 is an abundant number, since it is smaller than the sum of its proper divisors (970659094138476).

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

655165424561556 is a wasteful number, since it uses less digits than its factorization.

655165424561556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434829 (or 434827 counting only the distinct ones).

The product of its digits is 648000000, while the sum is 66.

The spelling of 655165424561556 in words is "six hundred fifty-five trillion, one hundred sixty-five billion, four hundred twenty-four million, five hundred sixty-one thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 227 454 681 908 1362 2724 3859 7718 11577 15436 23154 35447 46308 70894 106341 141788 212682 399131 425364 602599 798262 1197393 1205198 1596524 1807797 2394786 2410396 3615594 4789572 6785227 7231188 8046469 13570454 16092938 20355681 24139407 27140908 32185876 40711362 48278814 81422724 90602737 96557628 136789973 181205474 271808211 273579946 362410948 410369919 543616422 547159892 820739838 1087232844 1540246529 1641479676 3080493058 4620739587 6160986116 9241479174 14147996557 18482958348 28295993114 42443989671 56591986228 84887979342 169775958684 240515941469 481031882938 721547824407 962063765876 1443095648814 2886191297628 3211595218439 6423190436878 9634785655317 12846380873756 19269571310634 38539142621268 54597118713463 109194237426926 163791356140389 218388474853852 327582712280778 655165424561556