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208103841856 = 2612724492
BaseRepresentation
bin1100000111001111110…
…1001010000001000000
3201220011010002111122101
43001303331022001000
511402144040414411
6235333535320144
721015002320051
oct3016375120100
9656133074571
10208103841856
1180290214569
12343b9680054
131681621c681
14a10249a728
15562eb328c1
hex3073f4a040

208103841856 has 63 divisors (see below), whose sum is σ = 417162374589. Its totient is φ = 103002697728.

The previous prime is 208103841823. The next prime is 208103841857. The reversal of 208103841856 is 658148301802.

The square root of 208103841856 is 456184.

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

It can be written as a sum of positive squares in only one way, i.e., 127174971456 + 80928870400 = 356616^2 + 284480^2 .

It is not an unprimeable number, because it can be changed into a prime (208103841857) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 463482720 + ... + 463483168.

Almost surely, 2208103841856 is an apocalyptic number.

208103841856 is the 456184-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 208103841856

208103841856 is an abundant number, since it is smaller than the sum of its proper divisors (209058532733).

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

208103841856 is an frugal number, since it uses more digits than its factorization.

208103841856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1164 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 46.

The spelling of 208103841856 in words is "two hundred eight billion, one hundred three million, eight hundred forty-one thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 127 254 449 508 898 1016 1796 2032 3592 4064 7184 8128 14368 16129 28736 32258 57023 64516 114046 129032 201601 228092 258064 403202 456184 516128 806404 912368 1032256 1612808 1824736 3225616 3649472 6451232 7241921 12902464 14483842 25603327 28967684 51206654 57935368 102413308 115870736 204826616 231741472 409653232 463482944 819306464 1638612928 3251622529 6503245058 13006490116 26012980232 52025960464 104051920928 208103841856