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6066516480 = 29353183307
BaseRepresentation
bin1011010011001011…
…11011001000000000
3120122210012222010120
411221211323020000
544411012011410
62441550300240
7303222352653
oct55145731000
916583188116
106066516480
112633432692
1212137b7680
13758ab7b2b
144179a589a
152578c6570
hex16997b200

6066516480 has 320 divisors, whose sum is σ = 20326699008. Its totient is φ = 1541652480.

The previous prime is 6066516457. The next prime is 6066516499. The reversal of 6066516480 is 846156606.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×60665164802 = 73605244404223180800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19760487 + ... + 19760793.

Almost surely, 26066516480 is an apocalyptic number.

6066516480 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 6066516480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10163349504).

6066516480 is an abundant number, since it is smaller than the sum of its proper divisors (14260182528).

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

6066516480 is a wasteful number, since it uses less digits than its factorization.

6066516480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 6066516480 is about 77887.8455216217. The cubic root of 6066516480 is about 1823.8108452662.

The spelling of 6066516480 in words is "six billion, sixty-six million, five hundred sixteen thousand, four hundred eighty".