Search a number
-
+
87305250378 = 2319937300991
BaseRepresentation
bin101000101001111001…
…1000110011001001010
322100100110020020120210
41101103303012121022
52412300121003003
6104035114301550
76210335245443
oct1212363063112
9270313206523
1087305250378
11340315a0895
1214b064278b6
138304756588
1443230742ca
15240e9d2503
hex1453cc664a

87305250378 has 16 divisors (see below), whose sum is σ = 174698136576. Its totient is φ = 29087144160.

The previous prime is 87305250377. The next prime is 87305250437.

87305250378 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×873052503783 (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (87305250377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3638538 + ... + 3662453.

It is an arithmetic number, because the mean of its divisors is an integer number (10918633536).

Almost surely, 287305250378 is an apocalyptic number.

87305250378 is an abundant number, since it is smaller than the sum of its proper divisors (87392886198).

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

87305250378 is a wasteful number, since it uses less digits than its factorization.

87305250378 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7302989.

The product of its (nonzero) digits is 1411200, while the sum is 48.

The spelling of 87305250378 in words is "eighty-seven billion, three hundred five million, two hundred fifty thousand, three hundred seventy-eight".

Divisors: 1 2 3 6 1993 3986 5979 11958 7300991 14601982 21902973 43805946 14550875063 29101750126 43652625189 87305250378