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206698438881 = 321122325992
BaseRepresentation
bin1100000010000000101…
…1111110000011100001
3201202112011120122012100
43000200023332003201
511341304300021011
6234542252521013
720635115512224
oct3004013760341
9652464518170
10206698438881
117a729975500
1234086a80169
1316650ccb88c
14a00b97d5bb
15559b571d56
hex30202fe0e1

206698438881 has 81 divisors (see below), whose sum is σ = 343636593937. Its totient is φ = 119625139920.

The previous prime is 206698438879. The next prime is 206698438987. The reversal of 206698438881 is 188834896602.

The square root of 206698438881 is 454641.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 206698438881 - 21 = 206698438879 is a prime.

It is a super-2 number, since 2×2066984388812 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (206698438801) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 345072220 + ... + 345072818.

Almost surely, 2206698438881 is an apocalyptic number.

206698438881 is the 454641-st square number.

206698438881 is the 227321-st centered octagonal number.

It is an amenable number.

206698438881 is a deficient number, since it is larger than the sum of its proper divisors (136938155056).

206698438881 is an equidigital number, since it uses as much as digits as its factorization.

206698438881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1272 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 31850496, while the sum is 63.

The spelling of 206698438881 in words is "two hundred six billion, six hundred ninety-eight million, four hundred thirty-eight thousand, eight hundred eighty-one".

Divisors: 1 3 9 11 23 33 69 99 121 207 253 363 529 599 759 1089 1587 1797 2277 2783 4761 5391 5819 6589 8349 13777 17457 19767 25047 41331 52371 59301 64009 72479 123993 151547 192027 217437 316871 358801 454641 576081 652311 950613 1076403 1363923 1667017 2851839 3229209 3485581 3946811 5001051 8252423 10456743 11840433 15003153 24757269 31370229 35521299 38341391 43414921 74271807 90776653 115024173 130244763 189805729 272329959 345072519 390734289 569417187 816989877 998543183 1708251561 2087863019 2995629549 6263589057 8986888647 18790767171 22966493209 68899479627 206698438881