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7148842272 = 253611132143
BaseRepresentation
bin1101010100001101…
…01010110100100000
3200110012210211000000
412222012222310200
5104120100423042
63141212300000
7342104104515
oct65206526440
920405724000
107148842272
113039376010
121476171600
1389c0babb0
144bb62330c
152bc91a74c
hex1aa1aad20

7148842272 has 336 divisors, whose sum is σ = 24802460928. Its totient is φ = 1998743040.

The previous prime is 7148842237. The next prime is 7148842279. The reversal of 7148842272 is 2722488417.

It is a super-2 number, since 2×71488422722 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (7148842279) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3334833 + ... + 3336975.

It is an arithmetic number, because the mean of its divisors is an integer number (73816848).

Almost surely, 27148842272 is an apocalyptic number.

7148842272 is a gapful number since it is divisible by the number (72) 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 7148842272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12401230464).

7148842272 is an abundant number, since it is smaller than the sum of its proper divisors (17653618656).

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

7148842272 is a wasteful number, since it uses less digits than its factorization.

7148842272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2195 (or 2172 counting only the distinct ones).

The product of its digits is 401408, while the sum is 45.

The square root of 7148842272 is about 84550.8265601230. The cubic root of 7148842272 is about 1926.3945387911.

The spelling of 7148842272 in words is "seven billion, one hundred forty-eight million, eight hundred forty-two thousand, two hundred seventy-two".