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2419005429 = 321727113099
BaseRepresentation
bin1001000000101111…
…0001011111110101
320020120210012121200
42100023301133311
514423231133204
61040011403113
7113642130651
oct22013613765
96216705550
102419005429
111031513645
12576153499
132c7211479
1418d3a9a61
15e257c539
hex902f17f5

2419005429 has 36 divisors (see below), whose sum is σ = 3764311200. Its totient is φ = 1496315520.

The previous prime is 2419005409. The next prime is 2419005431. The reversal of 2419005429 is 9245009142.

2419005429 is a `hidden beast` number, since 24 + 1 + 90 + 0 + 542 + 9 = 666.

It is not a de Polignac number, because 2419005429 - 228 = 2150569973 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2419005393 and 2419005402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2419005409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 178122 + ... + 191220.

It is an arithmetic number, because the mean of its divisors is an integer number (104564200).

Almost surely, 22419005429 is an apocalyptic number.

It is an amenable number.

2419005429 is a deficient number, since it is larger than the sum of its proper divisors (1345305771).

2419005429 is a wasteful number, since it uses less digits than its factorization.

2419005429 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13210 (or 13190 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 2419005429 is about 49183.3857008645. The cubic root of 2419005429 is about 1342.3907400443.

The spelling of 2419005429 in words is "two billion, four hundred nineteen million, five thousand, four hundred twenty-nine".

Divisors: 1 3 9 17 51 71 153 213 289 639 867 1207 2601 3621 10863 13099 20519 39297 61557 117891 184671 222683 668049 930029 2004147 2790087 3785611 8370261 11356833 15810493 34070499 47431479 142294437 268778381 806335143 2419005429