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429018330429 = 32133666823337
BaseRepresentation
bin1100011111000110111…
…11000011010100111101
31112000101000200021212200
412033203133003110331
524012112143033204
6525031023422113
742665321432313
oct6174337032475
91460330607780
10429018330429
11155a44732567
126b191454939
13315c1513770
1416a9c0b20b3
15b25e262539
hex63e37c353d

429018330429 has 12 divisors (see below), whose sum is σ = 667361847516. Its totient is φ = 264011280192.

The previous prime is 429018330373. The next prime is 429018330437. The reversal of 429018330429 is 924033810924.

429018330429 is a `hidden beast` number, since 4 + 290 + 1 + 8 + 330 + 4 + 29 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 162669442329 + 266348888100 = 403323^2 + 516090^2 .

It is not a de Polignac number, because 429018330429 - 29 = 429018329917 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (429018330229) 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 11 ways as a sum of consecutive naturals, for example, 1833411552 + ... + 1833411785.

It is an arithmetic number, because the mean of its divisors is an integer number (55613487293).

Almost surely, 2429018330429 is an apocalyptic number.

It is an amenable number.

429018330429 is a deficient number, since it is larger than the sum of its proper divisors (238343517087).

429018330429 is a wasteful number, since it uses less digits than its factorization.

429018330429 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3666823356 (or 3666823353 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 429018330429 in words is "four hundred twenty-nine billion, eighteen million, three hundred thirty thousand, four hundred twenty-nine".

Divisors: 1 3 9 13 39 117 3666823337 11000470011 33001410033 47668703381 143006110143 429018330429