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206191446912 = 2733115423807
BaseRepresentation
bin1100000000000111110…
…1111100101110000000
3201201012211120202222000
43000001331330232000
511334240002300122
6234420102144000
720616421244433
oct3000175745600
9651184522860
10206191446912
117a499772980
1233b65122000
131659cc69129
149da04c781a
15556bcc70ac
hex3001f7cb80

206191446912 has 128 divisors (see below), whose sum is σ = 663874099200. Its totient is φ = 62482245120.

The previous prime is 206191446889. The next prime is 206191446913. The reversal of 206191446912 is 219644191602.

206191446912 is a `hidden beast` number, since 2 + 0 + 6 + 191 + 446 + 9 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×2061914469122 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206191446913) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2673888 + ... + 2749919.

It is an arithmetic number, because the mean of its divisors is an integer number (5186516400).

Almost surely, 2206191446912 is an apocalyptic number.

206191446912 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

206191446912 is an abundant number, since it is smaller than the sum of its proper divisors (457682652288).

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

206191446912 is a wasteful number, since it uses less digits than its factorization.

206191446912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5423841 (or 5423823 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 206191446912 in words is "two hundred six billion, one hundred ninety-one million, four hundred forty-six thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 128 132 144 176 192 198 216 264 288 297 352 384 396 432 528 576 594 704 792 864 1056 1152 1188 1408 1584 1728 2112 2376 3168 3456 4224 4752 6336 9504 12672 19008 38016 5423807 10847614 16271421 21695228 32542842 43390456 48814263 59661877 65085684 86780912 97628526 119323754 130171368 146442789 173561824 178985631 195257052 238647508 260342736 292885578 347123648 357971262 390514104 477295016 520685472 536956893 585771156 694247296 715942524 781028208 954590032 1041370944 1073913786 1171542312 1431885048 1562056416 1610870679 1909180064 2082741888 2147827572 2343084624 2863770096 3124112832 3221741358 3818360128 4295655144 4686169248 5727540192 6248225664 6443482716 7636720256 8591310288 9372338496 11455080384 12886965432 17182620576 18744676992 22910160768 25773930864 34365241152 51547861728 68730482304 103095723456 206191446912