Search a number
-
+
60006200420660 = 225133111123966029
BaseRepresentation
bin11011010010011010010000…
…10000101010100100110100
321212110112111021120112002212
431221031020100222210310
530331120144301430120
6331342245022552552
715432206404562534
oct1551151020524464
9255415437515085
1060006200420660
11181355398629aa
12689172b138758
13276373931ab60
1410b645bdd74c4
156e0d740c96c5
hex36934842a934

60006200420660 has 96 divisors (see below), whose sum is σ = 136156860403200. Its totient is φ = 22082594480640.

The previous prime is 60006200420641. The next prime is 60006200420669. The reversal of 60006200420660 is 6602400260006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60006200420669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 908752526 + ... + 908818554.

It is an arithmetic number, because the mean of its divisors is an integer number (1418300629200).

Almost surely, 260006200420660 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 60006200420660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68078430201600).

60006200420660 is an abundant number, since it is smaller than the sum of its proper divisors (76150659982540).

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

60006200420660 is a wasteful number, since it uses less digits than its factorization.

60006200420660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77601 (or 77599 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

Adding to 60006200420660 its reverse (6602400260006), we get a palindrome (66608600680666).

The spelling of 60006200420660 in words is "sixty trillion, six billion, two hundred million, four hundred twenty thousand, six hundred sixty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 311 622 1244 1555 3110 4043 6220 8086 11239 16172 20215 22478 40430 44956 56195 66029 80860 112390 132058 146107 224780 264116 292214 330145 584428 660290 730535 858377 1320580 1461070 1716754 2922140 3433508 3495329 4291885 6990658 8583770 13981316 17167540 17476645 20535019 34953290 41070038 45439277 69906580 82140076 90878554 102675095 181757108 205350190 227196385 266955247 410700380 454392770 533910494 742099931 908785540 1067820988 1334776235 1484199862 2669552470 2968399724 3710499655 5339104940 7420999310 9647299103 14841998620 19294598206 38589196412 48236495515 96472991030 192945982060 230793078541 461586157082 923172314164 1153965392705 2307930785410 3000310021033 4615861570820 6000620042066 12001240084132 15001550105165 30003100210330 60006200420660