Search a number
-
+
85019590656 = 2203471113
BaseRepresentation
bin100111100101110010…
…0000000000000000000
322010110011100200220000
41033023210000000000
52343110003400111
6103020224520000
76066602411460
oct1171344000000
9263404320800
1085019590656
1133069384910
1214588a80000
13802c0626c0
144187699ba0
152328ee4c56
hex13cb900000

85019590656 has 840 divisors, whose sum is σ = 341047084224. Its totient is φ = 20384317440.

The previous prime is 85019590639. The next prime is 85019590709. The reversal of 85019590656 is 65609591058.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6539968506 + ... + 6539968518.

Almost surely, 285019590656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85019590656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170523542112).

85019590656 is an abundant number, since it is smaller than the sum of its proper divisors (256027493568).

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

85019590656 is an frugal number, since it uses more digits than its factorization.

85019590656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 2916000, while the sum is 54.

The spelling of 85019590656 in words is "eighty-five billion, nineteen million, five hundred ninety thousand, six hundred fifty-six".