Search a number
-
+
10533064080 = 24357111673413
BaseRepresentation
bin10011100111101000…
…11100110110010000
31000012001211002120110
421303310130312100
5133032431022310
64501104041320
7522006365430
oct116364346620
930161732513
1010533064080
114515704a40
12205b603240
13cbb27b0c6
1471cc842c0
15419aa7d20
hex273d1cd90

10533064080 has 320 divisors, whose sum is σ = 40965378048. Its totient is φ = 2174945280.

The previous prime is 10533064019. The next prime is 10533064093. The reversal of 10533064080 is 8046033501.

10533064080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105330640802 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3084454 + ... + 3087866.

Almost surely, 210533064080 is an apocalyptic number.

10533064080 is a gapful number since it is divisible by the number (10) 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 10533064080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20482689024).

10533064080 is an abundant number, since it is smaller than the sum of its proper divisors (30432313968).

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

10533064080 is a wasteful number, since it uses less digits than its factorization.

10533064080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3614 (or 3608 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

Adding to 10533064080 its reverse (8046033501), we get a palindrome (18579097581).

The spelling of 10533064080 in words is "ten billion, five hundred thirty-three million, sixty-four thousand, eighty".