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66213024480 = 2533581118899
BaseRepresentation
bin111101101010100110…
…101001001011100000
320022220111111011002000
4331222212221023200
52041101013240410
650230130524000
74532551264461
oct755246511340
9208814434060
1066213024480
1126098587339
12109ba736600
1363229c0635
1432c1ab4d68
151ac7e18dc0
hexf6a9a92e0

66213024480 has 192 divisors, whose sum is σ = 232043616000. Its totient is φ = 17634101760.

The previous prime is 66213024461. The next prime is 66213024523. The reversal of 66213024480 is 8442031266.

66213024480 is a `hidden beast` number, since 6 + 621 + 3 + 0 + 24 + 4 + 8 + 0 = 666.

66213024480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×662130244802 (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

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, 3494071 + ... + 3512969.

It is an arithmetic number, because the mean of its divisors is an integer number (1208560500).

Almost surely, 266213024480 is an apocalyptic number.

66213024480 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 66213024480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116021808000).

66213024480 is an abundant number, since it is smaller than the sum of its proper divisors (165830591520).

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

66213024480 is a wasteful number, since it uses less digits than its factorization.

66213024480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19734 (or 19720 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 66213024480 in words is "sixty-six billion, two hundred thirteen million, twenty-four thousand, four hundred eighty".