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1337827317 = 34779120103
BaseRepresentation
bin100111110111101…
…1001111111110101
310110020100200001220
41033233121333311
510214440433232
6340430140553
745103226121
oct11757317765
93406320056
101337827317
11627194512
12314051759
131842208c8
14c996a581
157c6b342c
hex4fbd9ff5

1337827317 has 16 divisors (see below), whose sum is σ = 1844797440. Its totient is φ = 861851952.

The previous prime is 1337827307. The next prime is 1337827319. The reversal of 1337827317 is 7137287331.

It is not a de Polignac number, because 1337827317 - 219 = 1337303029 is a prime.

It is a super-2 number, since 2×13378273172 = 3579563860222836978, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1337827319) 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, 48913 + ... + 71190.

It is an arithmetic number, because the mean of its divisors is an integer number (115299840).

Almost surely, 21337827317 is an apocalyptic number.

It is an amenable number.

1337827317 is a deficient number, since it is larger than the sum of its proper divisors (506970123).

1337827317 is a wasteful number, since it uses less digits than its factorization.

1337827317 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120232.

The product of its digits is 148176, while the sum is 42.

The square root of 1337827317 is about 36576.3218079675. The cubic root of 1337827317 is about 1101.8775968759.

The spelling of 1337827317 in words is "one billion, three hundred thirty-seven million, eight hundred twenty-seven thousand, three hundred seventeen".

Divisors: 1 3 47 79 141 237 3713 11139 120103 360309 5644841 9488137 16934523 28464411 445942439 1337827317