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2138415049 = 13123532
BaseRepresentation
bin111111101110101…
…1001111111001001
312112000210201222101
41333131121333021
513334413240144
6552105353401
7103664141131
oct17735317711
95460721871
102138415049
119a8096971
124b8198861
1328104b164
14164009ac1
15c7b046d4
hex7f759fc9

2138415049 has 9 divisors (see below), whose sum is σ = 2160985159. Its totient is φ = 2116079680.

The previous prime is 2138414987. The next prime is 2138415067. The reversal of 2138415049 is 9405148312.

The square root of 2138415049 is 46243.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 868775625 + 1269639424 = 29475^2 + 35632^2 .

It is not a de Polignac number, because 2138415049 - 217 = 2138283977 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2138414999 and 2138415017.

It is not an unprimeable number, because it can be changed into a prime (2138415089) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6057657 + ... + 6058009.

Almost surely, 22138415049 is an apocalyptic number.

2138415049 is the 46243-rd square number.

2138415049 is the 23122-nd centered octagonal number.

It is an amenable number.

2138415049 is a deficient number, since it is larger than the sum of its proper divisors (22570110).

2138415049 is an frugal number, since it uses more digits than its factorization.

2138415049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 968 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The cubic root of 2138415049 is about 1288.3405236313.

The spelling of 2138415049 in words is "two billion, one hundred thirty-eight million, four hundred fifteen thousand, forty-nine".

Divisors: 1 131 353 17161 46243 124609 6057833 16323779 2138415049