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85366048200 = 23352373381439
BaseRepresentation
bin100111110000000110…
…1101000010111001000
322011100022021120021220
41033200031220113020
52344312202020300
6103114442402040
76111310302666
oct1174015502710
9264308246256
1085366048200
11332269aa564
1214664b00320
138085a78374
1441bb6c3c36
15234962dda0
hex13e03685c8

85366048200 has 96 divisors (see below), whose sum is σ = 265344921600. Its totient is φ = 22703189760.

The previous prime is 85366048139. The next prime is 85366048223. The reversal of 85366048200 is 284066358.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33081 + ... + 414519.

It is an arithmetic number, because the mean of its divisors is an integer number (2764009600).

Almost surely, 285366048200 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 85366048200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132672460800).

85366048200 is an abundant number, since it is smaller than the sum of its proper divisors (179978873400).

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

85366048200 is a wasteful number, since it uses less digits than its factorization.

85366048200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381831 (or 381822 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The spelling of 85366048200 in words is "eighty-five billion, three hundred sixty-six million, forty-eight thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 373 600 746 1119 1492 1865 2238 2984 3730 4476 5595 7460 8952 9325 11190 14920 18650 22380 27975 37300 44760 55950 74600 111900 223800 381439 762878 1144317 1525756 1907195 2288634 3051512 3814390 4577268 5721585 7628780 9154536 9535975 11443170 15257560 19071950 22886340 28607925 38143900 45772680 57215850 76287800 114431700 142276747 228863400 284553494 426830241 569106988 711383735 853660482 1138213976 1422767470 1707320964 2134151205 2845534940 3414641928 3556918675 4268302410 5691069880 7113837350 8536604820 10670756025 14227674700 17073209640 21341512050 28455349400 42683024100 85366048200