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85540967196 = 22329876128057
BaseRepresentation
bin100111110101010100…
…0111001001100011100
322011210111102101001020
41033222220321030130
52400141441422241
6103144051444140
76115533136626
oct1175250711434
9264714371036
1085540967196
1133306711813
12146b35b6650
1380b3090629
1441d6a17c16
152359b81b66
hex13eaa3931c

85540967196 has 48 divisors (see below), whose sum is σ = 206509124640. Its totient is φ = 27526302720.

The previous prime is 85540967191. The next prime is 85540967219. The reversal of 85540967196 is 69176904558.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85540967191) by changing a digit.

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, 3034800 + ... + 3062856.

It is an arithmetic number, because the mean of its divisors is an integer number (4302273430).

Almost surely, 285540967196 is an apocalyptic number.

It is an amenable number.

85540967196 is an abundant number, since it is smaller than the sum of its proper divisors (120968157444).

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

85540967196 is a wasteful number, since it uses less digits than its factorization.

85540967196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36854 (or 36852 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 60.

The spelling of 85540967196 in words is "eighty-five billion, five hundred forty million, nine hundred sixty-seven thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 348 8761 17522 26283 28057 35044 52566 56114 84171 105132 112228 168342 254069 336684 508138 762207 813653 1016276 1524414 1627306 2440959 3048828 3254612 4881918 9763836 245807377 491614754 737422131 983229508 1474844262 2949688524 7128413933 14256827866 21385241799 28513655732 42770483598 85540967196