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206165540401152 = 212343938218211
BaseRepresentation
bin101110111000000110100111…
…110011001111000000000000
31000000222020021222122022001020
4232320012213303033000000
5204010304011320314102
62010251050341505440
761265653166112153
oct5670064763170000
91000866258568036
10206165540401152
115a766350917292
121b15831a412280
138b06433676567
1438ca673099c9a
1518c7c8b0b4bbc
hexbb81a7ccf000

206165540401152 has 104 divisors (see below), whose sum is σ = 550959859105920. Its totient is φ = 68565303214080.

The previous prime is 206165540401099. The next prime is 206165540401157. The reversal of 206165540401152 is 251104045561602.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206165540401157) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13714674 + ... + 24503537.

Almost surely, 2206165540401152 is an apocalyptic number.

It is an amenable number.

206165540401152 is an abundant number, since it is smaller than the sum of its proper divisors (344794318704768).

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

206165540401152 is an equidigital number, since it uses as much as digits as its factorization.

206165540401152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38218677 (or 38218655 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 42.

Adding to 206165540401152 its reverse (251104045561602), we get a palindrome (457269585962754).

The spelling of 206165540401152 in words is "two hundred six trillion, one hundred sixty-five billion, five hundred forty million, four hundred one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 439 512 768 878 1024 1317 1536 1756 2048 2634 3072 3512 4096 5268 6144 7024 10536 12288 14048 21072 28096 42144 56192 84288 112384 168576 224768 337152 449536 674304 899072 1348608 1798144 2697216 5394432 38218211 76436422 114654633 152872844 229309266 305745688 458618532 611491376 917237064 1222982752 1834474128 2445965504 3668948256 4891931008 7337896512 9783862016 14675793024 16777794629 19567724032 29351586048 33555589258 39135448064 50333383887 58703172096 67111178516 78270896128 100666767774 117406344192 134222357032 156541792256 201333535548 234812688384 268444714064 402667071096 469625376768 536889428128 805334142192 1073778856256 1610668284384 2147557712512 3221336568768 4295115425024 6442673137536 8590230850048 12885346275072 17180461700096 25770692550144 34360923400192 51541385100288 68721846800384 103082770200576 206165540401152