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16545327820704 = 2532794091778003
BaseRepresentation
bin1111000011000100001001…
…1000110010111110100000
32011120201101100021101111100
43300301002120302332200
54132034312410230304
655104452455514400
73325234435013664
oct360610230627640
964521340241440
1016545327820704
1152a991a245511
121a32718988a00
139302aa436067
14412b261468a4
151da5ae104439
hexf0c42632fa0

16545327820704 has 144 divisors (see below), whose sum is σ = 47762877052800. Its totient is φ = 5431981022208.

The previous prime is 16545327820699. The next prime is 16545327820789. The reversal of 16545327820704 is 40702872354561.

16545327820704 is a `hidden beast` number, since 1 + 6 + 545 + 3 + 2 + 7 + 8 + 20 + 70 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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, 8416567 + ... + 10194569.

It is an arithmetic number, because the mean of its divisors is an integer number (331686646200).

Almost surely, 216545327820704 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 16545327820704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23881438526400).

16545327820704 is an abundant number, since it is smaller than the sum of its proper divisors (31217549232096).

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

16545327820704 is a wasteful number, since it uses less digits than its factorization.

16545327820704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1778507 (or 1778496 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 54.

The spelling of 16545327820704 in words is "sixteen trillion, five hundred forty-five billion, three hundred twenty-seven million, eight hundred twenty thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 79 96 144 158 237 288 316 409 474 632 711 818 948 1227 1264 1422 1636 1896 2454 2528 2844 3272 3681 3792 4908 5688 6544 7362 7584 9816 11376 13088 14724 19632 22752 29448 32311 39264 58896 64622 96933 117792 129244 193866 258488 290799 387732 516976 581598 775464 1033952 1163196 1550928 1778003 2326392 3101856 3556006 4652784 5334009 7112012 9305568 10668018 14224024 16002027 21336036 28448048 32004054 42672072 56896096 64008108 85344144 128016216 140462237 170688288 256032432 280924474 421386711 512064864 561848948 727203227 842773422 1123697896 1264160133 1454406454 1685546844 2181609681 2247395792 2528320266 2908812908 3371093688 4363219362 4494791584 5056640532 5817625816 6544829043 6742187376 8726438724 10113281064 11635251632 13089658086 13484374752 17452877448 20226562128 23270503264 26179316172 34905754896 40453124256 52358632344 57449054933 69811509792 104717264688 114898109866 172347164799 209434529376 229796219732 344694329598 459592439464 517041494397 689388659196 919184878928 1034082988794 1378777318392 1838369757856 2068165977588 2757554636784 4136331955176 5515109273568 8272663910352 16545327820704