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129643336404 = 223317299832477
BaseRepresentation
bin111100010111101011…
…0000101001011010100
3110101122001210212011000
41320233112011023110
54111002143231104
6135320214343300
712236453114541
oct1705726051324
9411561725130
10129643336404
114aa8831352a
122116135ab30
13c2c102759a
1463bbd85bc8
15358b8b0639
hex1e2f5852d4

129643336404 has 192 divisors, whose sum is σ = 368678822400. Its totient is φ = 39214135296.

The previous prime is 129643336393. The next prime is 129643336463. The reversal of 129643336404 is 404633346921.

129643336404 is a `hidden beast` number, since 129 + 64 + 33 + 36 + 404 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 129643336404.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 52337614 + ... + 52340090.

It is an arithmetic number, because the mean of its divisors is an integer number (1920202200).

Almost surely, 2129643336404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129643336404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184339411200).

129643336404 is an abundant number, since it is smaller than the sum of its proper divisors (239035485996).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

129643336404 is a wasteful number, since it uses less digits than its factorization.

129643336404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3519 (or 3511 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 45.

The spelling of 129643336404 in words is "one hundred twenty-nine billion, six hundred forty-three million, three hundred thirty-six thousand, four hundred four".