Search a number
-
+
8081014032 = 24337131931349
BaseRepresentation
bin1111000011010101…
…00111110100010000
3202212011212001021000
413201222213310100
5113022214422112
63413512102000
7404153325450
oct74152476420
922764761230
108081014032
1134775814a3
121696394900
139ba269c10
14569355d60
1532469e7dc
hex1e1aa7d10

8081014032 has 640 divisors, whose sum is σ = 31109120000. Its totient is φ = 1948354560.

The previous prime is 8081014021. The next prime is 8081014033. The reversal of 8081014032 is 2304101808.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 8081013987 and 8081014005.

It is not an unprimeable number, because it can be changed into a prime (8081014033) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 23154594 + ... + 23154942.

It is an arithmetic number, because the mean of its divisors is an integer number (48608000).

Almost surely, 28081014032 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 8081014032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15554560000).

8081014032 is an abundant number, since it is smaller than the sum of its proper divisors (23028105968).

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

8081014032 is a wasteful number, since it uses less digits than its factorization.

8081014032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 8081014032 is about 89894.4605189886. The cubic root of 8081014032 is about 2006.7285075416.

The spelling of 8081014032 in words is "eight billion, eighty-one million, fourteen thousand, thirty-two".