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1337799117 = 32347267131
BaseRepresentation
bin100111110111101…
…0011000111001101
310110020022020101110
41033233103013031
510214434032432
6340425402233
745103050654
oct11757230715
93406266343
101337799117
11627175306
12314039379
13184210b15
14c996019b
157c6a9dcc
hex4fbd31cd

1337799117 has 48 divisors (see below), whose sum is σ = 1944847872. Its totient is φ = 816198240.

The previous prime is 1337799097. The next prime is 1337799119. The reversal of 1337799117 is 7119977331.

It is not a de Polignac number, because 1337799117 - 26 = 1337799053 is a prime.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1337799119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10212142 + ... + 10212272.

It is an arithmetic number, because the mean of its divisors is an integer number (40517664).

Almost surely, 21337799117 is an apocalyptic number.

It is an amenable number.

1337799117 is a deficient number, since it is larger than the sum of its proper divisors (607048755).

1337799117 is a wasteful number, since it uses less digits than its factorization.

1337799117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 271 counting only the distinct ones).

The product of its digits is 250047, while the sum is 48.

The square root of 1337799117 is about 36575.9363106401. The cubic root of 1337799117 is about 1101.8698546793.

The spelling of 1337799117 in words is "one billion, three hundred thirty-seven million, seven hundred ninety-nine thousand, one hundred seventeen".

Divisors: 1 3 23 47 67 69 131 141 201 393 1081 1541 2209 3013 3149 3243 4623 6157 6627 8777 9039 9447 18471 26331 50807 72427 141611 148003 152421 201871 217281 289379 412519 424833 444009 605613 868137 1237557 3404069 6655717 9487937 10212207 19388393 19967151 28463811 58165179 445933039 1337799117