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1338763905 = 325139214031
BaseRepresentation
bin100111111001011…
…1110101010000001
310110022010020211100
41033302332222001
510220210421110
6340502205013
745114206523
oct11762765201
93408106740
101338763905
11627774156
12314423769
1318448acbb
14c9b31a13
157c7eabc0
hex4fcbea81

1338763905 has 24 divisors (see below), whose sum is σ = 2337229440. Its totient is φ = 708867360.

The previous prime is 1338763901. The next prime is 1338763931. The reversal of 1338763905 is 5093678331.

1338763905 is a `hidden beast` number, since 1 + 3 + 3 + 8 + 7 + 639 + 0 + 5 = 666.

It is not a de Polignac number, because 1338763905 - 22 = 1338763901 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1338763901) 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 23 ways as a sum of consecutive naturals, for example, 100761 + ... + 113270.

It is an arithmetic number, because the mean of its divisors is an integer number (97384560).

Almost surely, 21338763905 is an apocalyptic number.

1338763905 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1338763905 is a deficient number, since it is larger than the sum of its proper divisors (998465535).

1338763905 is a wasteful number, since it uses less digits than its factorization.

1338763905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214181 (or 214178 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 1338763905 is about 36589.1227689323. The cubic root of 1338763905 is about 1102.1346715586.

The spelling of 1338763905 in words is "one billion, three hundred thirty-eight million, seven hundred sixty-three thousand, nine hundred five".

Divisors: 1 3 5 9 15 45 139 417 695 1251 2085 6255 214031 642093 1070155 1926279 3210465 9631395 29750309 89250927 148751545 267752781 446254635 1338763905