Search a number
-
+
86165493120 = 273457367647
BaseRepresentation
bin101000000111111011…
…1010001010110000000
322020102000120120120000
41100033313101112000
52402431331234440
6103330041320000
76140155415130
oct1201767212600
9266360516500
1086165493120
11335a71a1343
1214848796000
1381825956b5
144255946ac0
1523948e6730
hex140fdd1580

86165493120 has 640 divisors, whose sum is σ = 353174722560. Its totient is φ = 19610947584.

The previous prime is 86165493119. The next prime is 86165493121. The reversal of 86165493120 is 2139456168.

86165493120 is a `hidden beast` number, since 8 + 616 + 5 + 4 + 9 + 3 + 1 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (86165493119) and next prime (86165493121).

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×861654931202 (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 not an unprimeable number, because it can be changed into a prime (86165493121) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 133176637 + ... + 133177283.

It is an arithmetic number, because the mean of its divisors is an integer number (551835504).

Almost surely, 286165493120 is an apocalyptic number.

86165493120 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 86165493120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176587361280).

86165493120 is an abundant number, since it is smaller than the sum of its proper divisors (267009229440).

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

86165493120 is a wasteful number, since it uses less digits than its factorization.

86165493120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1052 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 86165493120 in words is "eighty-six billion, one hundred sixty-five million, four hundred ninety-three thousand, one hundred twenty".