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206400416334463 = 131931154279174721
BaseRepresentation
bin101110111011100001010111…
…011111110100001001111111
31000001210200112220010221222101
4232323201113133310021333
5204023131023040200323
62010551013044125531
761321636504443061
oct5673412737641177
91001720486127871
10206400416334463
115a846a1a19a36a
121b1959499968a7
138b2262529a460
1438d7b94dcd731
1518cde3625ddad
hexbbb8577f427f

206400416334463 has 32 divisors (see below), whose sum is σ = 241526747033600. Its totient is φ = 174671329996800.

The previous prime is 206400416334461. The next prime is 206400416334487. The reversal of 206400416334463 is 364433614004602.

It is not a de Polignac number, because 206400416334463 - 21 = 206400416334461 is a prime.

It is a super-2 number, since 2×2064004163344632 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206400416334461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1181226943 + ... + 1181401663.

It is an arithmetic number, because the mean of its divisors is an integer number (7547710844800).

Almost surely, 2206400416334463 is an apocalyptic number.

206400416334463 is a deficient number, since it is larger than the sum of its proper divisors (35126330699137).

206400416334463 is a wasteful number, since it uses less digits than its factorization.

206400416334463 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329063.

The product of its (nonzero) digits is 2985984, while the sum is 46.

The spelling of 206400416334463 in words is "two hundred six trillion, four hundred billion, four hundred sixteen million, three hundred thirty-four thousand, four hundred sixty-three".

Divisors: 1 13 19 31 247 403 589 7657 154279 174721 2005627 2271373 2931301 3319699 4782649 5416351 38106913 43156087 62174437 70412563 90870331 102910669 1181314303 1337838697 26955781159 350425155067 512159842021 835629215929 6658077946273 10863179807077 15876955102651 206400416334463