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206160556160 = 2751324778913
BaseRepresentation
bin1100000000000000100…
…0000111000010000000
3201201010200110100211002
43000000020013002000
511334204100244120
6234413040111132
720615564546066
oct3000010070200
9651120410732
10206160556160
117a483294229
1233b569054a8
1316596741890
149d9a366036
155569224375
hex3000207080

206160556160 has 64 divisors (see below), whose sum is σ = 530764337880. Its totient is φ = 76120817664.

The previous prime is 206160556157. The next prime is 206160556171. The reversal of 206160556160 is 61655061602.

It can be written as a sum of positive squares in 4 ways, for example, as 82194596416 + 123965959744 = 286696^2 + 352088^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12381137 + ... + 12397776.

Almost surely, 2206160556160 is an apocalyptic number.

206160556160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

206160556160 is an abundant number, since it is smaller than the sum of its proper divisors (324603781720).

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

206160556160 is a wasteful number, since it uses less digits than its factorization.

206160556160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24778945 (or 24778933 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 38.

The spelling of 206160556160 in words is "two hundred six billion, one hundred sixty million, five hundred fifty-six thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 260 320 416 520 640 832 1040 1664 2080 4160 8320 24778913 49557826 99115652 123894565 198231304 247789130 322125869 396462608 495578260 644251738 792925216 991156520 1288503476 1585850432 1610629345 1982313040 2577006952 3171700864 3221258690 3964626080 5154013904 6442517380 7929252160 10308027808 12885034760 15858504320 20616055616 25770069520 41232111232 51540139040 103080278080 206160556160