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9379438257 = 373374393019
BaseRepresentation
bin10001011110000111…
…01101111010110001
3220012200001211110010
420233003231322301
5123202114011012
64150413525133
7451300624020
oct105703557261
926180054403
109379438257
113a834a2872
1219991a37a9
13b66272887
1464d9868b7
1539d67cc3c
hex22f0edeb1

9379438257 has 32 divisors (see below), whose sum is σ = 14372300800. Its totient is φ = 5329836288.

The previous prime is 9379438223. The next prime is 9379438273. The reversal of 9379438257 is 7528349739.

It is not a de Polignac number, because 9379438257 - 28 = 9379438001 is a prime.

It is the 96848-th Hogben number.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 9379438197 and 9379438206.

It is not an unprimeable number, because it can be changed into a prime (9379438297) by changing a digit.

It is a nontrivial repunit in base 96847.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3105294 + ... + 3108312.

It is an arithmetic number, because the mean of its divisors is an integer number (449134400).

Almost surely, 29379438257 is an apocalyptic number.

It is an amenable number.

9379438257 is a deficient number, since it is larger than the sum of its proper divisors (4992862543).

9379438257 is a wasteful number, since it uses less digits than its factorization.

9379438257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3805.

The product of its digits is 11430720, while the sum is 57.

The square root of 9379438257 is about 96847.5000038721. The cubic root of 9379438257 is about 2108.9143548423.

The spelling of 9379438257 in words is "nine billion, three hundred seventy-nine million, four hundred thirty-eight thousand, two hundred fifty-seven".

Divisors: 1 3 7 21 337 439 1011 1317 2359 3019 3073 7077 9057 9219 21133 63399 147943 443829 1017403 1035601 1325341 3052209 3106803 3976023 7121821 9277387 21365463 27832161 446639917 1339919751 3126479419 9379438257