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7240163328 = 21332283347
BaseRepresentation
bin1101011111000110…
…00010000000000000
3200200120122101221100
412233203002000000
5104311440211303
63154233454400
7344263241616
oct65743020000
920616571840
107240163328
113085979962
1214a0871400
138b4cb3218
144c97d56b6
152c59588a3
hex1af8c2000

7240163328 has 168 divisors, whose sum is σ = 21049140528. Its totient is φ = 2397929472.

The previous prime is 7240163311. The next prime is 7240163339. The reversal of 7240163328 is 8233610427.

It is a happy number.

It is a super-2 number, since 2×72401633282 (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 7240163292 and 7240163301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20864851 + ... + 20865197.

Almost surely, 27240163328 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 7240163328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10524570264).

7240163328 is an abundant number, since it is smaller than the sum of its proper divisors (13808977200).

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

7240163328 is a wasteful number, since it uses less digits than its factorization.

7240163328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 7240163328 is about 85089.1492964879. The cubic root of 7240163328 is about 1934.5626012935.

The spelling of 7240163328 in words is "seven billion, two hundred forty million, one hundred sixty-three thousand, three hundred twenty-eight".