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2138243829 = 32367631733
BaseRepresentation
bin111111101110011…
…0000001011110101
312112000111001002220
41333130300023311
513334342300304
6552101552553
7103662526011
oct17734601365
95460431086
102138243829
119a7a8a267
124b8115759
13280cbb247
14163da3541
15c7abdad9
hex7f7302f5

2138243829 has 32 divisors (see below), whose sum is σ = 3028260864. Its totient is φ = 1339208640.

The previous prime is 2138243791. The next prime is 2138243837. The reversal of 2138243829 is 9283428312.

It is not a de Polignac number, because 2138243829 - 220 = 2137195253 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2138243329) 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 31 ways as a sum of consecutive naturals, for example, 2916747 + ... + 2917479.

It is an arithmetic number, because the mean of its divisors is an integer number (94633152).

Almost surely, 22138243829 is an apocalyptic number.

It is an amenable number.

2138243829 is a deficient number, since it is larger than the sum of its proper divisors (890017035).

2138243829 is a wasteful number, since it uses less digits than its factorization.

2138243829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1457.

The product of its digits is 165888, while the sum is 42.

The square root of 2138243829 is about 46241.1486557157. The cubic root of 2138243829 is about 1288.3061374860.

The spelling of 2138243829 in words is "two billion, one hundred thirty-eight million, two hundred forty-three thousand, eight hundred twenty-nine".

Divisors: 1 3 23 67 69 201 631 733 1541 1893 2199 4623 14513 16859 42277 43539 49111 50577 126831 147333 462523 972371 1129553 1387569 2917113 3388659 10638029 30989041 31914087 92967123 712747943 2138243829