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85290751520 = 2551341005169
BaseRepresentation
bin100111101101110111…
…0011001011000100000
322011011001121002122222
41033123232121120200
52344133413022040
6103103152450212
76106404266102
oct1173356313040
9264131532588
1085290751520
1133198450aa7
1214643849968
1380732a3a10
1441b16c3572
152342c08bb5
hex13dbb99620

85290751520 has 48 divisors (see below), whose sum is σ = 216999359640. Its totient is φ = 31491969024.

The previous prime is 85290751517. The next prime is 85290751543. The reversal of 85290751520 is 2515709258.

It can be written as a sum of positive squares in 4 ways, for example, as 33839809936 + 51450941584 = 183956^2 + 226828^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20500505 + ... + 20504664.

Almost surely, 285290751520 is an apocalyptic number.

85290751520 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85290751520 is an abundant number, since it is smaller than the sum of its proper divisors (131708608120).

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

85290751520 is a wasteful number, since it uses less digits than its factorization.

85290751520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41005197 (or 41005189 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 44.

The spelling of 85290751520 in words is "eighty-five billion, two hundred ninety million, seven hundred fifty-one thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 2080 41005169 82010338 164020676 205025845 328041352 410051690 533067197 656082704 820103380 1066134394 1312165408 1640206760 2132268788 2665335985 3280413520 4264537576 5330671970 6560827040 8529075152 10661343940 17058150304 21322687880 42645375760 85290751520