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9379671890625 = 325681672
BaseRepresentation
bin1000100001111110000000…
…0000101101101011000001
31020012200120110110020122100
42020133200000231223001
52212134032001000000
631540543424501013
71655442004410261
oct210374000555301
936180513406570
109379671890625
112a96995289033
121075a1517a769
13530664b6303a
14245d9b1937a1
15113ec0646a00
hex887e002dac1

9379671890625 has 63 divisors (see below), whose sum is σ = 16937375796471. Its totient is φ = 5001879150000.

The previous prime is 9379671890591. The next prime is 9379671890689. The reversal of 9379671890625 is 5260981769739.

The square root of 9379671890625 is 3062625.

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

It can be written as a sum of positive squares in 3 ways, for example, as 8217493024689 + 1162178865936 = 2866617^2 + 1078044^2 .

It is not a de Polignac number, because 9379671890625 - 219 = 9379671366337 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 1148480292 + ... + 1148488458.

Almost surely, 29379671890625 is an apocalyptic number.

9379671890625 is the 3062625-th square number.

9379671890625 is the 1531313-rd centered octagonal number.

It is an amenable number.

9379671890625 is a deficient number, since it is larger than the sum of its proper divisors (7557703905846).

9379671890625 is an frugal number, since it uses more digits than its factorization.

9379671890625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16370 (or 8175 counting only the distinct ones).

The product of its (nonzero) digits is 308629440, while the sum is 72.

The spelling of 9379671890625 in words is "nine trillion, three hundred seventy-nine billion, six hundred seventy-one million, eight hundred ninety thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 125 225 375 625 1125 1875 3125 5625 8167 9375 15625 24501 28125 40835 46875 73503 122505 140625 204175 367515 612525 1020875 1837575 3062625 5104375 9187875 15313125 25521875 45939375 66699889 76565625 127609375 200099667 229696875 333499445 382828125 600299001 1000498335 1148484375 1667497225 3001495005 5002491675 8337486125 15007475025 25012458375 41687430625 75037375125 125062291875 208437153125 375186875625 625311459375 1042185765625 1875934378125 3126557296875 9379671890625