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7938097216 = 2672372432
BaseRepresentation
bin1110110010010010…
…11100000001000000
3202111012221010020121
413121021130001000
5112224123102331
63351404550024
7400466466400
oct73111340100
922435833217
107938097216
113403937a25
121656552314
1399677b05a
14554392800
15316d6dc11
hex1d925c040

7938097216 has 189 divisors, whose sum is σ = 19280721789. Its totient is φ = 3233115648.

The previous prime is 7938097213. The next prime is 7938097231. The reversal of 7938097216 is 6127908397.

The square root of 7938097216 is 89096.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 7103118400 + 834978816 = 84280^2 + 28896^2 .

It is not an unprimeable number, because it can be changed into a prime (7938097213) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 184606891 + ... + 184606933.

It is an arithmetic number, because the mean of its divisors is an integer number (102014401).

Almost surely, 27938097216 is an apocalyptic number.

7938097216 is the 89096-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7938097216

7938097216 is an abundant number, since it is smaller than the sum of its proper divisors (11342624573).

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

7938097216 is an equidigital number, since it uses as much as digits as its factorization.

7938097216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 52.

The cubic root of 7938097216 is about 1994.8280717745.

It can be divided in two parts, 793809 and 7216, that added together give a square (801025 = 8952).

The spelling of 7938097216 in words is "seven billion, nine hundred thirty-eight million, ninety-seven thousand, two hundred sixteen".