Search a number
-
+
6080811264 = 28341153503
BaseRepresentation
bin1011010100111000…
…11101000100000000
3120200210010012220000
411222130131010000
544423141430024
62443220520000
7303455020503
oct55234350400
916623105800
106080811264
112640506560
121218550000
1375ba51498
1441984713a
15258c9bcc9
hex16a71d100

6080811264 has 360 divisors, whose sum is σ = 20193509952. Its totient is φ = 1804308480.

The previous prime is 6080811251. The next prime is 6080811271. The reversal of 6080811264 is 4621180806.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12088837 + ... + 12089339.

Almost surely, 26080811264 is an apocalyptic number.

6080811264 is a gapful number since it is divisible by the number (64) 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 6080811264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10096754976).

6080811264 is an abundant number, since it is smaller than the sum of its proper divisors (14112698688).

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

6080811264 is a wasteful number, since it uses less digits than its factorization.

6080811264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 6080811264 is about 77979.5567055879. The cubic root of 6080811264 is about 1825.2422285849.

The spelling of 6080811264 in words is "six billion, eighty million, eight hundred eleven thousand, two hundred sixty-four".