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21744113554116 = 22321986813661979
BaseRepresentation
bin1001111000110101100100…
…01010100001001011000100
32211222201100122211001210100
410330122302022201023010
510322223421032212431
6114125035144324100
74402650255435252
oct474326212411304
984881318731710
1021744113554116
116a23699262768
1225321a3773630
13c195cc09b445
145525c66095d2
1527a9333924e6
hex13c6b22a12c4

21744113554116 has 72 divisors (see below), whose sum is σ = 57863824855200. Its totient is φ = 6865769312640.

The previous prime is 21744113554067. The next prime is 21744113554133. The reversal of 21744113554116 is 61145531144712.

21744113554116 is a `hidden beast` number, since 2 + 1 + 74 + 4 + 1 + 1 + 35 + 541 + 1 + 6 = 666.

It is a super-2 number, since 2×217441135541162 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 4106815 + ... + 7768793.

It is an arithmetic number, because the mean of its divisors is an integer number (803664234100).

Almost surely, 221744113554116 is an apocalyptic number.

It is an amenable number.

21744113554116 is an abundant number, since it is smaller than the sum of its proper divisors (36119711301084).

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

21744113554116 is a wasteful number, since it uses less digits than its factorization.

21744113554116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3670689 (or 3670684 counting only the distinct ones).

The product of its digits is 403200, while the sum is 45.

Adding to 21744113554116 its reverse (61145531144712), we get a palindrome (82889644698828).

The spelling of 21744113554116 in words is "twenty-one trillion, seven hundred forty-four billion, one hundred thirteen million, five hundred fifty-four thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 684 8681 17362 26043 34724 52086 78129 104172 156258 164939 312516 329878 494817 659756 989634 1484451 1979268 2968902 3661979 5937804 7323958 10985937 14647916 21971874 32957811 43943748 65915622 69577601 131831244 139155202 208732803 278310404 417465606 626198409 834931212 1252396818 2504793636 31789639699 63579279398 95368919097 127158558796 190737838194 286106757291 381475676388 572213514582 604003154281 1144427029164 1208006308562 1812009462843 2416012617124 3624018925686 5436028388529 7248037851372 10872056777058 21744113554116