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206237689956 = 2232756892
BaseRepresentation
bin1100000000010010111…
…0010110100001100100
3201201100001121011111100
43000010232112201210
511334333322034311
6234424433240100
720620522304004
oct3000456264144
9651301534440
10206237689956
117a512887a71
1233b78703030
13165a970a48c
149da66c4004
155570dada56
hex3004b96864

206237689956 has 27 divisors (see below), whose sum is σ = 521329937401. Its totient is φ = 68744988384.

The previous prime is 206237689943. The next prime is 206237689961. The reversal of 206237689956 is 659986732602.

The square root of 206237689956 is 454134.

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

206237689956 is a `hidden beast` number, since 206 + 2 + 376 + 8 + 9 + 9 + 56 = 666.

It can be written as a sum of positive squares in only one way, i.e., 205540729956 + 696960000 = 453366^2 + 26400^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 206237689893 and 206237689902.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2686960 + ... + 2762648.

Almost surely, 2206237689956 is an apocalyptic number.

206237689956 is the 454134-th square number.

It is an amenable number.

206237689956 is an abundant number, since it is smaller than the sum of its proper divisors (315092247445).

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

206237689956 is an frugal number, since it uses more digits than its factorization.

206237689956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151388 (or 75694 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

The spelling of 206237689956 in words is "two hundred six billion, two hundred thirty-seven million, six hundred eighty-nine thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 75689 151378 227067 302756 454134 681201 908268 1362402 2724804 5728824721 11457649442 17186474163 22915298884 34372948326 51559422489 68745896652 103118844978 206237689956