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486472752200 = 235214923312
BaseRepresentation
bin1110001010001000000…
…10010001110001001000
31201111200010022022202202
413011010002101301020
530432244011032300
61011252115215332
750101151111201
oct7050402216110
91644603268682
10486472752200
11178348205a66
127a3468a7548
1336b49773936
141978c84c5a8
15c9c3284ad5
hex7144091c48

486472752200 has 108 divisors (see below), whose sum is σ = 1142141575995. Its totient is φ = 192699196800.

The previous prime is 486472752163. The next prime is 486472752223. The reversal of 486472752200 is 2257274684.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 20636471716 + 465836280484 = 143654^2 + 682522^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=493190.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1469706035 + ... + 1469706365.

Almost surely, 2486472752200 is an apocalyptic number.

486472752200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 486472752200

486472752200 is an abundant number, since it is smaller than the sum of its proper divisors (655668823795).

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

486472752200 is an equidigital number, since it uses as much as digits as its factorization.

486472752200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 976 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 1505280, while the sum is 47.

The spelling of 486472752200 in words is "four hundred eighty-six billion, four hundred seventy-two million, seven hundred fifty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 149 200 298 331 596 662 745 1192 1324 1490 1655 2648 2980 3310 3725 5960 6620 7450 8275 13240 14900 16550 22201 29800 33100 44402 49319 66200 88804 98638 109561 111005 177608 197276 219122 222010 246595 394552 438244 444020 493190 547805 555025 876488 888040 986380 1095610 1110050 1232975 1972760 2191220 2220100 2465950 2739025 4382440 4440200 4931900 5478050 7348531 9863800 10956100 14697062 16324589 21912200 29394124 32649178 36742655 58788248 65298356 73485310 81622945 130596712 146970620 163245890 183713275 293941240 326491780 367426550 408114725 652983560 734853100 816229450 1469706200 1632458900 2432363761 3264917800 4864727522 9729455044 12161818805 19458910088 24323637610 48647275220 60809094025 97294550440 121618188050 243236376100 486472752200