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16532155342144 = 261394122939209
BaseRepresentation
bin1111000010010011000100…
…1111110001110101000000
32011112110101022221010221001
43300210301033301311000
54131330323231422034
655054433423541344
73324260135545261
oct360446117616500
964473338833831
1016532155342144
1152a427a7753a2
121a3006145a854
1392bc8b3c4b50
14412236920968
151da08c982a14
hexf09313f1d40

16532155342144 has 112 divisors (see below), whose sum is σ = 35386344660240. Its totient is φ = 7617965506560.

The previous prime is 16532155342103. The next prime is 16532155342193. The reversal of 16532155342144 is 44124355123561.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 2940840852544 + 13591314489600 = 1714888^2 + 3686640^2 .

It is a junction number, because it is equal to n+sod(n) for n = 16532155342094 and 16532155342103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1795212612 + ... + 1795221820.

It is an arithmetic number, because the mean of its divisors is an integer number (315949505895).

Almost surely, 216532155342144 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 16532155342144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17693172330120).

16532155342144 is an abundant number, since it is smaller than the sum of its proper divisors (18854189318096).

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

16532155342144 is a wasteful number, since it uses less digits than its factorization.

16532155342144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12468 (or 12458 counting only the distinct ones).

The product of its digits is 1728000, while the sum is 46.

The spelling of 16532155342144 in words is "sixteen trillion, five hundred thirty-two billion, one hundred fifty-five million, three hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 832 941 1882 2293 3764 4586 7528 9172 9209 12233 15056 18344 18418 24466 29809 30112 36688 36836 48932 59618 60224 73376 73672 97864 119236 119717 146752 147344 195728 238472 239434 294688 391456 476944 478868 589376 782912 953888 957736 1907776 1915472 2157713 3830944 4315426 7661888 8630852 8665669 17261704 17331338 21116237 28050269 34523408 34662676 42232474 56100538 69046816 69325352 84464948 112201076 112653697 138093632 138650704 168929896 224402152 225307394 274511081 277301408 337859792 448804304 450614788 549022162 554602816 675719584 897608608 901229576 1098044324 1351439168 1795217216 1802459152 2196088648 3604918304 4392177296 7209836608 8784354592 17568709184 19870379017 39740758034 79481516068 158963032136 258314927221 317926064272 516629854442 635852128544 1033259708884 1271704257088 2066519417768 4133038835536 8266077671072 16532155342144