Search a number
-
+
2161435102644 = 2231722838272663
BaseRepresentation
bin11111011100111111100…
…100100100110110110100
321122122001010110202200210
4133130333210210312310
5240403104341241034
64332541035305420
7312105243144006
oct37347744446664
97578033422623
102161435102644
11763728848894
122aaa982ab270
13128a8cc2014c
1476884c12376
153b3559458e9
hex1f73f924db4

2161435102644 has 144 divisors (see below), whose sum is σ = 5384920601088. Its totient is φ = 674630702592.

The previous prime is 2161435102633. The next prime is 2161435102747. The reversal of 2161435102644 is 4462015341612.

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, 811652857 + ... + 811655519.

It is an arithmetic number, because the mean of its divisors is an integer number (37395281952).

Almost surely, 22161435102644 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 2161435102644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2692460300544).

2161435102644 is an abundant number, since it is smaller than the sum of its proper divisors (3223485498444).

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

2161435102644 is a wasteful number, since it uses less digits than its factorization.

2161435102644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3814 (or 3795 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The spelling of 2161435102644 in words is "two trillion, one hundred sixty-one billion, four hundred thirty-five million, one hundred two thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 283 289 566 578 827 849 867 1132 1156 1654 1698 1734 2481 2663 3308 3396 3468 4811 4962 5326 7989 9622 9924 10652 14059 14433 15978 19244 28118 28866 31956 42177 45271 56236 57732 81787 84354 90542 135813 163574 168708 181084 234041 239003 245361 271626 327148 468082 478006 490722 543252 702123 717009 753629 769607 936164 956012 981444 1404246 1434018 1507258 1539214 2202301 2260887 2308821 2808492 2868036 3014516 3078428 3978697 4404602 4521774 4617642 6606903 7957394 8809204 9043548 9235284 11936091 12811693 13213806 15914788 23872182 25623386 26427612 37439117 38435079 47744364 51246772 67637849 74878234 76870158 112317351 135275698 149756468 153740316 202913547 217798781 224634702 270551396 405827094 435597562 449269404 623251183 636464989 653396343 811654188 871195124 1246502366 1272929978 1306792686 1869753549 1909394967 2493004732 2545859956 2613585372 3739507098 3818789934 7479014196 7637579868 10595270111 21190540222 31785810333 42381080444 63571620666 127143241332 180119591887 360239183774 540358775661 720478367548 1080717551322 2161435102644