Search a number
-
+
2038554368664 = 2331131833001087
BaseRepresentation
bin11101101010100011010…
…011110001101010011000
321012212212100200201002020
4131222203103301222120
5231344424404244124
64200255434534440
7300165164142162
oct35524323615230
97185770621066
102038554368664
11716600883690
1228b103897420
1311a308c7c378
147094906b932
1538062b09379
hex1daa34f1a98

2038554368664 has 128 divisors (see below), whose sum is σ = 5808185671680. Its totient is φ = 590613724800.

The previous prime is 2038554368659. The next prime is 2038554368687. The reversal of 2038554368664 is 4668634558302.

It is a junction number, because it is equal to n+sod(n) for n = 2038554368598 and 2038554368607.

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, 821272 + ... + 2179815.

It is an arithmetic number, because the mean of its divisors is an integer number (45376450560).

Almost surely, 22038554368664 is an apocalyptic number.

2038554368664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2038554368664 is an abundant number, since it is smaller than the sum of its proper divisors (3769631303016).

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

2038554368664 is a wasteful number, since it uses less digits than its factorization.

2038554368664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3001221 (or 3001217 counting only the distinct ones).

The product of its (nonzero) digits is 99532800, while the sum is 60.

The spelling of 2038554368664 in words is "two trillion, thirty-eight billion, five hundred fifty-four million, three hundred sixty-eight thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 31 33 44 62 66 83 88 93 124 132 166 186 248 249 264 332 341 372 498 664 682 744 913 996 1023 1364 1826 1992 2046 2573 2728 2739 3652 4092 5146 5478 7304 7719 8184 10292 10956 15438 20584 21912 28303 30876 56606 61752 84909 113212 169818 226424 339636 679272 3001087 6002174 9003261 12004348 18006522 24008696 33011957 36013044 66023914 72026088 93033697 99035871 132047828 186067394 198071742 249090221 264095656 279101091 372134788 396143484 498180442 558202182 744269576 747270663 792286968 996360884 1023370667 1116404364 1494541326 1992721768 2046741334 2232808728 2739992431 2989082652 3070112001 4093482668 5479984862 5978165304 6140224002 7721796851 8186965336 8219977293 10959969724 12280448004 15443593702 16439954586 21919939448 23165390553 24560896008 30887187404 32879909172 46330781106 61774374808 65759818344 84939765361 92661562212 169879530722 185323124424 254819296083 339759061444 509638592166 679518122888 1019277184332 2038554368664