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206158430208 = 2363
BaseRepresentation
bin1100000000000000000…
…0000000000000000000
3201201010112110100120010
43000000000000000000
511334203024231313
6234412522344520
720615540513013
oct3000000000000
9651115410503
10206158430208
117a482071a45
1233b5605b140
1316596179013
149d99d7137a
155568e544c3
hex3000000000

206158430208 has 74 divisors (see below), whose sum is σ = 549755813884. Its totient is φ = 68719476736.

The previous prime is 206158430183. The next prime is 206158430209. The reversal of 206158430208 is 802034851602.

It is a Jordan-Polya number, since it can be written as 4! ⋅ (2!)33.

It is an ABA number since it can be written as A⋅BA, here for A=3, B=4096.

It is a nialpdrome in base 2, base 4, base 8 and base 16.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (206158430209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (2) of ones.

In principle, a polygon with 206158430208 sides can be constructed with ruler and compass.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68719476735 + 68719476736 + 68719476737.

Almost surely, 2206158430208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206158430208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274877906942).

206158430208 is an abundant number, since it is smaller than the sum of its proper divisors (343597383676).

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

206158430208 is an frugal number, since it uses more digits than its factorization.

206158430208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 5 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The spelling of 206158430208 in words is "two hundred six billion, one hundred fifty-eight million, four hundred thirty thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 3072 4096 6144 8192 12288 16384 24576 32768 49152 65536 98304 131072 196608 262144 393216 524288 786432 1048576 1572864 2097152 3145728 4194304 6291456 8388608 12582912 16777216 25165824 33554432 50331648 67108864 100663296 134217728 201326592 268435456 402653184 536870912 805306368 1073741824 1610612736 2147483648 3221225472 4294967296 6442450944 8589934592 12884901888 17179869184 25769803776 34359738368 51539607552 68719476736 103079215104 206158430208