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2124892129 = 37149385433
BaseRepresentation
bin111111010100111…
…0100011111100001
312111002100201000111
41332221310133201
513322433022004
6550503451321
7103441166533
oct17651643741
95432321014
102124892129
119a049a9a8
124b3756b41
1327b2c4c29
141622c9853
15c6832a04
hex7ea747e1

2124892129 has 8 divisors (see below), whose sum is σ = 2196973800. Its totient is φ = 2053581696.

The previous prime is 2124892127. The next prime is 2124892141. The reversal of 2124892129 is 9212984212.

It can be written as a sum of positive squares in 4 ways, for example, as 468809104 + 1656083025 = 21652^2 + 40695^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 2124892129 - 21 = 2124892127 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2124892091 and 2124892100.

It is not an unprimeable number, because it can be changed into a prime (2124892123) 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 7 ways as a sum of consecutive naturals, for example, 187204 + ... + 198229.

It is an arithmetic number, because the mean of its divisors is an integer number (274621725).

Almost surely, 22124892129 is an apocalyptic number.

It is an amenable number.

2124892129 is a deficient number, since it is larger than the sum of its proper divisors (72081671).

2124892129 is a wasteful number, since it uses less digits than its factorization.

2124892129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385619.

The product of its digits is 41472, while the sum is 40.

The square root of 2124892129 is about 46096.5522463448. The cubic root of 2124892129 is about 1285.6190407087.

The spelling of 2124892129 in words is "two billion, one hundred twenty-four million, eight hundred ninety-two thousand, one hundred twenty-nine".

Divisors: 1 37 149 5513 385433 14261021 57429517 2124892129