Search a number
-
+
85310668800 = 215335271929
BaseRepresentation
bin100111101110011101…
…0011000000000000000
322011012110002000001000
41033130322120000000
52344204012400200
6103105143412000
76110035502010
oct1173472300000
9264173060030
1085310668800
11331a8715165
121464a454000
1380774585a6
1441b41c9c40
152344840300
hex13dce98000

85310668800 has 1536 divisors, whose sum is σ = 390064320000. Its totient is φ = 17836277760.

The previous prime is 85310668777. The next prime is 85310668843. The reversal of 85310668800 is 886601358.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a super-2 number, since 2×853106688002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2941747186 + ... + 2941747214.

It is an arithmetic number, because the mean of its divisors is an integer number (253948125).

Almost surely, 285310668800 is an apocalyptic number.

85310668800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85310668800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195032160000).

85310668800 is an abundant number, since it is smaller than the sum of its proper divisors (304753651200).

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

85310668800 is a wasteful number, since it uses less digits than its factorization.

85310668800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 85310668800 in words is "eighty-five billion, three hundred ten million, six hundred sixty-eight thousand, eight hundred".