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205029923525956 = 2229485132
BaseRepresentation
bin101110100111100100111111…
…110000101001010101000100
3222212221200001220010210200201
4232213210333300221111010
5203333202240410312311
62004021240243020244
761120631431666264
oct5647447760512504
9885850056123621
10205029923525956
115a36877a790851
121abb420a66a684
138a53314920a09
14388b7035c97a4
1518a84738309c1
hexba793fc29544

205029923525956 has 45 divisors (see below), whose sum is σ = 371660376251521. Its totient is φ = 98968336162304.

The previous prime is 205029923525929. The next prime is 205029923525963. The reversal of 205029923525956 is 659525329920502.

It is a happy number.

The square root of 205029923525956 is 14318866.

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

It can be written as a sum of positive squares in 7 ways, for example, as 2172115916100 + 202857807609856 = 1473810^2 + 14242816^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 24084328356 + ... + 24084336868.

Almost surely, 2205029923525956 is an apocalyptic number.

205029923525956 is the 14318866-th square number.

It is an amenable number.

205029923525956 is a deficient number, since it is larger than the sum of its proper divisors (166630452725565).

205029923525956 is an frugal number, since it uses more digits than its factorization.

205029923525956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17146 (or 8544 counting only the distinct ones).

The product of its (nonzero) digits is 131220000, while the sum is 64.

The spelling of 205029923525956 in words is "two hundred five trillion, twenty-nine billion, nine hundred twenty-three million, five hundred twenty-five thousand, nine hundred fifty-six".

Divisors: 1 2 4 29 58 116 841 1682 3364 8513 17026 24389 34052 48778 97556 246877 493754 707281 987508 1414562 2829124 7159433 14318866 28637732 72471169 144942338 207623557 289884676 415247114 830494228 2101663901 4203327802 6021083153 8406655604 12042166306 24084332612 60948253129 121896506258 243793012516 1767499340741 3534998681482 7069997362964 51257480881489 102514961762978 205029923525956