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8933995462441 = 724269972
BaseRepresentation
bin1000001000000001101110…
…1000000011111100101001
31011122002012111121220120011
42002000123220003330221
52132333310314244231
631000115412131521
71611313510313200
oct202003350037451
934562174556504
108933995462441
112934982591135
121003575006ba1
134ca61a4385ca
1422c59c9a2237
151075d8c469b1
hex8201ba03f29

8933995462441 has 9 divisors (see below), whose sum is σ = 10392631305399. Its totient is φ = 7657692462504.

The previous prime is 8933995462393. The next prime is 8933995462453. The reversal of 8933995462441 is 1442645993398.

The square root of 8933995462441 is 2988979.

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., 1403383776025 + 7530611686416 = 1184645^2 + 2744196^2 .

It is not a de Polignac number, because 8933995462441 - 223 = 8933987073833 is a prime.

It is not an unprimeable number, because it can be changed into a prime (8933995462141) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 20709355 + ... + 21136351.

It is an arithmetic number, because the mean of its divisors is an integer number (1154736811711).

Almost surely, 28933995462441 is an apocalyptic number.

8933995462441 is the 2988979-th square number.

8933995462441 is the 1494490-th centered octagonal number.

It is an amenable number.

8933995462441 is a deficient number, since it is larger than the sum of its proper divisors (1458635842958).

8933995462441 is an frugal number, since it uses more digits than its factorization.

8933995462441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 854008 (or 427004 counting only the distinct ones).

The product of its digits is 201553920, while the sum is 67.

The spelling of 8933995462441 in words is "eight trillion, nine hundred thirty-three billion, nine hundred ninety-five million, four hundred sixty-two thousand, four hundred forty-one".

Divisors: 1 7 49 426997 2988979 20922853 182326438009 1276285066063 8933995462441