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85580284296 = 233131372002159
BaseRepresentation
bin100111110110011111…
…0111000000110001000
322011220020101212222010
41033230332320012020
52400232023044141
6103152014255520
76116521262013
oct1175476700610
9264806355863
1085580284296
1133326926291
12147047b75a0
1380bb2783a0
1441dbd3037a
15235d34b416
hex13ecfb8188

85580284296 has 64 divisors (see below), whose sum is σ = 232090387200. Its totient is φ = 26140174848.

The previous prime is 85580284249. The next prime is 85580284327. The reversal of 85580284296 is 69248208558.

It is a happy number.

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 15 ways as a sum of consecutive naturals, for example, 958336 + ... + 1043823.

It is an arithmetic number, because the mean of its divisors is an integer number (3626412300).

Almost surely, 285580284296 is an apocalyptic number.

It is an amenable number.

85580284296 is an abundant number, since it is smaller than the sum of its proper divisors (146510102904).

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

85580284296 is a wasteful number, since it uses less digits than its factorization.

85580284296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2002318 (or 2002314 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 57.

The spelling of 85580284296 in words is "eighty-five billion, five hundred eighty million, two hundred eighty-four thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 137 156 274 312 411 548 822 1096 1644 1781 3288 3562 5343 7124 10686 14248 21372 42744 2002159 4004318 6006477 8008636 12012954 16017272 24025908 26028067 48051816 52056134 78084201 104112268 156168402 208224536 274295783 312336804 548591566 624673608 822887349 1097183132 1645774698 2194366264 3291549396 3565845179 6583098792 7131690358 10697535537 14263380716 21395071074 28526761432 42790142148 85580284296