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6060066480 = 24325131793617
BaseRepresentation
bin1011010010011010…
…10100011010110000
3120122100002021101200
411221031110122300
544402334111410
62441200131200
7303113500206
oct55115243260
916570067350
106060066480
11262a827706
121211606b00
1375766a070
14416ba7076
152570503c0
hex1693546b0

6060066480 has 240 divisors, whose sum is σ = 22045776480. Its totient is φ = 1482964992.

The previous prime is 6060066433. The next prime is 6060066503. The reversal of 6060066480 is 846600606.

6060066480 is a `hidden beast` number, since 6 + 0 + 6 + 0 + 0 + 6 + 648 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1673632 + ... + 1677248.

It is an arithmetic number, because the mean of its divisors is an integer number (91857402).

Almost surely, 26060066480 is an apocalyptic number.

6060066480 is a gapful number since it is divisible by the number (60) 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 6060066480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11022888240).

6060066480 is an abundant number, since it is smaller than the sum of its proper divisors (15985710000).

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

6060066480 is a wasteful number, since it uses less digits than its factorization.

6060066480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3828 (or 3819 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 6060066480 is about 77846.4288198245. The cubic root of 6060066480 is about 1823.1642495074.

The spelling of 6060066480 in words is "six billion, sixty million, sixty-six thousand, four hundred eighty".