Search a number
-
+
21616231664655 = 3355319385918223
BaseRepresentation
bin1001110101000111010111…
…10011110100110000001111
32211112111021100110222121000
410322203223303310300033
510313130020301232110
6113550205411511343
74360502241344265
oct472435363646017
984474240428530
1021616231664655
116984435271411
1225114542b8553
13c0a52bc85b74
1454a334582435
1527744b4721c0
hex13a8ebcf4c0f

21616231664655 has 128 divisors (see below), whose sum is σ = 39404778393600. Its totient is φ = 11238811803648.

The previous prime is 21616231664647. The next prime is 21616231664669. The reversal of 21616231664655 is 55646613261612.

21616231664655 is a `hidden beast` number, since 2 + 1 + 6 + 1 + 623 + 1 + 6 + 6 + 4 + 6 + 5 + 5 = 666.

It is not a de Polignac number, because 21616231664655 - 23 = 21616231664647 is a prime.

It is a super-2 number, since 2×216162316646552 (a number of 27 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 127 ways as a sum of consecutive naturals, for example, 1186196874 + ... + 1186215096.

It is an arithmetic number, because the mean of its divisors is an integer number (307849831200).

Almost surely, 221616231664655 is an apocalyptic number.

21616231664655 is a deficient number, since it is larger than the sum of its proper divisors (17788546728945).

21616231664655 is a wasteful number, since it uses less digits than its factorization.

21616231664655 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19342 (or 19336 counting only the distinct ones).

The product of its digits is 9331200, while the sum is 54.

The spelling of 21616231664655 in words is "twenty-one trillion, six hundred sixteen billion, two hundred thirty-one million, six hundred sixty-four thousand, six hundred fifty-five".

Divisors: 1 3 5 9 15 27 45 53 135 159 193 265 477 579 795 859 965 1431 1737 2385 2577 2895 4295 5211 7155 7731 8685 10229 12885 18223 23193 26055 30687 38655 45527 51145 54669 91115 92061 115965 136581 153435 164007 165787 227635 273345 276183 409743 460305 492021 497361 682905 820035 828935 965819 1229229 1380915 1492083 2048715 2460105 2486805 2897457 3517039 4476249 4829095 6146145 7460415 8692371 8786711 10551117 14487285 15653557 17585195 22381245 26077113 26360133 31653351 43461855 43933555 46960671 52755585 78267785 79080399 94960053 130385565 131800665 140882013 158266755 186403067 234803355 237241197 395401995 422646039 474800265 559209201 704410065 829638521 932015335 1186205985 1677627603 2113230195 2488915563 2796046005 3021136501 4148192605 5032882809 7466746689 8388138015 9063409503 12444577815 15105682505 22400240067 25164414045 27190228509 37333733445 45317047515 81570685527 112001200335 135951142545 160120234553 407853427635 480360703659 800601172765 1441082110977 2401803518295 4323246332931 7205410554885 21616231664655