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6066680127840 = 25325107229171937
BaseRepresentation
bin101100001001000001001…
…0100000110000101100000
3210110222011100222000022200
41120102002110012011200
51243344030103042330
620522554441333200
71164205663151223
oct130220224060540
923428140860280
106066680127840
111a29956857422
1281b91aa97200
13350115a57c47
1416d8b39355ba
15a7c1cdbca60
hex58482506160

6066680127840 has 288 divisors, whose sum is σ = 20987398766880. Its totient is φ = 1595654111232.

The previous prime is 6066680127821. The next prime is 6066680127847. The reversal of 6066680127840 is 487210866606.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6066680127847) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 35198352 + ... + 35370288.

It is an arithmetic number, because the mean of its divisors is an integer number (72872912385).

Almost surely, 26066680127840 is an apocalyptic number.

6066680127840 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 6066680127840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10493699383440).

6066680127840 is an abundant number, since it is smaller than the sum of its proper divisors (14920718639040).

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

6066680127840 is a wasteful number, since it uses less digits than its factorization.

6066680127840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172294 (or 172283 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 6066680127840 in words is "six trillion, sixty-six billion, six hundred eighty million, one hundred twenty-seven thousand, eight hundred forty".