Search a number
-
+
86084077080 = 233517237332503
BaseRepresentation
bin101000000101100000…
…0101100011000011000
322020012100101012202010
41100023000230120120
52402300010431310
6103314012305520
76135146403441
oct1201300543030
9266170335663
1086084077080
1133565243261
12148254722a0
13816b75a921
144248bd22c8
15238c6b3320
hex140b02c618

86084077080 has 256 divisors, whose sum is σ = 285835806720. Its totient is φ = 20629610496.

The previous prime is 86084077061. The next prime is 86084077087. The reversal of 86084077080 is 8077048068.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86084077087) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34391109 + ... + 34393611.

It is an arithmetic number, because the mean of its divisors is an integer number (1116546120).

Almost surely, 286084077080 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 86084077080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142917903360).

86084077080 is an abundant number, since it is smaller than the sum of its proper divisors (199751729640).

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

86084077080 is a wasteful number, since it uses less digits than its factorization.

86084077080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3290 (or 3286 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 48.

The spelling of 86084077080 in words is "eighty-six billion, eighty-four million, seventy-seven thousand, eighty".