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2038316027 = 1132695693
BaseRepresentation
bin111100101111110…
…0011101111111011
312021001110011221012
41321133203233323
513133302103102
6534132104135
7101340254216
oct17137435773
95231404835
102038316027
11956638000
1248a76504b
132663a1577
141549d077d
15bde30752
hex797e3bfb

2038316027 has 16 divisors (see below), whose sum is σ = 2250724320. Its totient is φ = 1845801760.

The previous prime is 2038316017. The next prime is 2038316053. The reversal of 2038316027 is 7206138302.

It is a happy number.

It is not a de Polignac number, because 2038316027 - 216 = 2038250491 is a prime.

It is a super-3 number, since 3×20383160273 (a number of 29 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2038315984 and 2038316002.

It is not an unprimeable number, because it can be changed into a prime (2038316017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 355193 + ... + 360885.

It is an arithmetic number, because the mean of its divisors is an integer number (140670270).

Almost surely, 22038316027 is an apocalyptic number.

2038316027 is a deficient number, since it is larger than the sum of its proper divisors (212408293).

2038316027 is an equidigital number, since it uses as much as digits as its factorization.

2038316027 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5995 (or 5973 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 2038316027 is about 45147.7134193970. The cubic root of 2038316027 is about 1267.9160704581.

The spelling of 2038316027 in words is "two billion, thirty-eight million, three hundred sixteen thousand, twenty-seven".

Divisors: 1 11 121 269 1331 2959 5693 32549 62623 358039 688853 1531417 7577383 16845587 185301457 2038316027