Search a number
-
+
202084541044740 = 2232512737323699983
BaseRepresentation
bin101101111100101101111001…
…010010001001100000000100
3222111112002112010100221211200
4231330231321102021200010
5202441423120001412430
61553444205002302500
760365061212663634
oct5574557122114004
9874462463327750
10202084541044740
11594326330a5352
121a7b9407ab7a30
13889b64b6a2a83
1437c8d303a06c4
151856a39035460
hexb7cb79489804

202084541044740 has 144 divisors (see below), whose sum is σ = 619472836190208. Its totient is φ = 53321546702592.

The previous prime is 202084541044721. The next prime is 202084541044769. The reversal of 202084541044740 is 47440145480202.

202084541044740 is a `hidden beast` number, since 2 + 0 + 20 + 8 + 4 + 54 + 104 + 474 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 3323212 + ... + 20376771.

Almost surely, 2202084541044740 is an apocalyptic number.

202084541044740 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202084541044740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309736418095104).

202084541044740 is an abundant number, since it is smaller than the sum of its proper divisors (417388295145468).

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

202084541044740 is a wasteful number, since it uses less digits than its factorization.

202084541044740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23700498 (or 23700493 counting only the distinct ones).

The product of its (nonzero) digits is 1146880, while the sum is 45.

The spelling of 202084541044740 in words is "two hundred two trillion, eighty-four billion, five hundred forty-one million, forty-four thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 127 180 254 373 381 508 635 746 762 1119 1143 1270 1492 1524 1865 1905 2238 2286 2540 3357 3730 3810 4476 4572 5595 5715 6714 7460 7620 11190 11430 13428 16785 22380 22860 33570 47371 67140 94742 142113 189484 236855 284226 426339 473710 568452 710565 852678 947420 1421130 1705356 2131695 2842260 4263390 8526780 23699983 47399966 71099949 94799932 118499915 142199898 213299847 236999830 284399796 355499745 426599694 473999660 710999490 853199388 1066499235 1421998980 2132998470 3009897841 4265996940 6019795682 8840093659 9029693523 12039591364 15049489205 17680187318 18059387046 26520280977 27089080569 30098978410 35360374636 36118774092 44200468295 45148467615 53040561954 54178161138 60197956820 79560842931 88400936590 90296935230 106081123908 108356322276 132601404885 135445402845 159121685862 176801873180 180593870460 265202809770 270890805690 318243371724 397804214655 530405619540 541781611380 795608429310 1122691894693 1591216858620 2245383789386 3368075684079 4490767578772 5613459473465 6736151368158 10104227052237 11226918946930 13472302736316 16840378420395 20208454104474 22453837893860 33680756840790 40416908208948 50521135261185 67361513681580 101042270522370 202084541044740