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399300003993 = 3113175882353
BaseRepresentation
bin1011100111110000010…
…00101000100010011001
31102011122220101212222210
411303320020220202121
523020231300111433
6503234052505333
740564012014222
oct5637010504231
91364586355883
10399300003993
11144384496000
126547891b249
132b866600a17
141547d22a249
15a5c0227463
hex5cf8228899

399300003993 has 32 divisors (see below), whose sum is σ = 620047170432. Its totient is φ = 227764669440.

The previous prime is 399300003989. The next prime is 399300004003.

399300003993 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 399300003993 - 22 = 399300003989 is a prime.

It is not an unprimeable number, because it can be changed into a prime (399300003983) 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 31 ways as a sum of consecutive naturals, for example, 2873296 + ... + 3009057.

It is an arithmetic number, because the mean of its divisors is an integer number (19376474076).

Almost surely, 2399300003993 is an apocalyptic number.

399300003993 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

399300003993 is a deficient number, since it is larger than the sum of its proper divisors (220747166439).

399300003993 is a wasteful number, since it uses less digits than its factorization.

399300003993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5882406 (or 5882384 counting only the distinct ones).

The product of its (nonzero) digits is 531441, while the sum is 48.

It can be divided in two parts, 39930000 and 3993, that multiplied together give a square (159440490000 = 3993002).

The spelling of 399300003993 in words is "three hundred ninety-nine billion, three hundred million, three thousand, nine hundred ninety-three".

Divisors: 1 3 11 17 33 51 121 187 363 561 1331 2057 3993 6171 22627 67881 5882353 17647059 64705883 100000001 194117649 300000003 711764713 1100000011 2135294139 3300000033 7829411843 12100000121 23488235529 36300000363 133100001331 399300003993