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6630120420 = 22357211439467
BaseRepresentation
bin1100010110010111…
…11001101111100100
3122010001202000101120
412023023321233210
5102034302323140
63013522253540
7323205044100
oct61313715744
918101660346
106630120420
1128a2591670
1213504b72b0
138187ac3a1
1446c796900
1528c1051d0
hex18b2f9be4

6630120420 has 288 divisors, whose sum is σ = 23662679040. Its totient is φ = 1371605760.

The previous prime is 6630120361. The next prime is 6630120463. The reversal of 6630120420 is 240210366.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14197027 + ... + 14197493.

It is an arithmetic number, because the mean of its divisors is an integer number (82162080).

Almost surely, 26630120420 is an apocalyptic number.

6630120420 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 6630120420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11831339520).

6630120420 is an abundant number, since it is smaller than the sum of its proper divisors (17032558620).

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

6630120420 is a wasteful number, since it uses less digits than its factorization.

6630120420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 943 (or 934 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 6630120420 is about 81425.5513951241. The cubic root of 6630120420 is about 1878.6266206982.

Adding to 6630120420 its reverse (240210366), we get a palindrome (6870330786).

The spelling of 6630120420 in words is "six billion, six hundred thirty million, one hundred twenty thousand, four hundred twenty".