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7066103040 = 283451719211
BaseRepresentation
bin1101001010010110…
…00010110100000000
3200020110010020010000
412211023002310000
5103432410244130
63125055040000
7340050612333
oct64513026400
920213106100
107066103040
112aa66a3887
121452510000
13887c0ba79
144b064661a
152b5525260
hex1a52c2d00

7066103040 has 720 divisors, whose sum is σ = 28313651520. Its totient is φ = 1672151040.

The previous prime is 7066103039. The next prime is 7066103041. The reversal of 7066103040 is 403016607.

7066103040 is a `hidden beast` number, since 7 + 0 + 6 + 610 + 3 + 0 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (7066103039) and next prime (7066103041).

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 7066102995 and 7066103013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7066103041) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 33488535 + ... + 33488745.

It is an arithmetic number, because the mean of its divisors is an integer number (39324516).

Almost surely, 27066103040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7066103040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14156825760).

7066103040 is an abundant number, since it is smaller than the sum of its proper divisors (21247548480).

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

7066103040 is a wasteful number, since it uses less digits than its factorization.

7066103040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 7066103040 is about 84060.1156316121. The cubic root of 7066103040 is about 1918.9337830166.

Adding to 7066103040 its reverse (403016607), we get a palindrome (7469119647).

The spelling of 7066103040 in words is "seven billion, sixty-six million, one hundred three thousand, forty".