Search a number
-
+
206139608676 = 223231224412
BaseRepresentation
bin1011111111111011100…
…0001100111001100100
3201201002020001010021100
42333332320030321210
511334133214434201
6234411011120100
720615221522521
oct2777670147144
9651066033240
10206139608676
117a472487061
1233b4b8a3030
13165922b9111
149d97672148
155567487886
hex2ffee0ce64

206139608676 has 81 divisors (see below), whose sum is σ = 538646885049. Its totient is φ = 66469406400.

The previous prime is 206139608671. The next prime is 206139608683. The reversal of 206139608676 is 676806931602.

The square root of 206139608676 is 454026.

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

206139608676 is a `hidden beast` number, since 20 + 6 + 1 + 3 + 9 + 608 + 6 + 7 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 19930098276 + 186209510400 = 141174^2 + 431520^2 .

It is not an unprimeable number, because it can be changed into a prime (206139608671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 84447616 + ... + 84450056.

Almost surely, 2206139608676 is an apocalyptic number.

206139608676 is the 454026-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206139608676

206139608676 is an abundant number, since it is smaller than the sum of its proper divisors (332507276373).

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

206139608676 is an equidigital number, since it uses as much as digits as its factorization.

206139608676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4954 (or 2477 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 206139608676 in words is "two hundred six billion, one hundred thirty-nine million, six hundred eight thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 372 558 961 1116 1922 2441 2883 3844 4882 5766 7323 8649 9764 11532 14646 17298 21969 29292 34596 43938 75671 87876 151342 227013 302684 454026 681039 908052 1362078 2345801 2724156 4691602 5958481 7037403 9383204 11916962 14074806 17875443 21112209 23833924 28149612 35750886 42224418 53626329 71501772 84448836 107252658 184712911 214505316 369425822 554138733 738851644 1108277466 1662416199 2216554932 3324832398 5726100241 6649664796 11452200482 17178300723 22904400964 34356601446 51534902169 68713202892 103069804338 206139608676