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129526570404 = 223272112192412
BaseRepresentation
bin111100010100001100…
…0101001110110100100
3110101022221002112022100
41320220120221312210
54110232300223104
6135300443532100
712233534453100
oct1705030516644
9411287075270
10129526570404
114aa28410500
122112a22a030
13c2a2a9368a
1463aa66c900
1535814e8139
hex1e28629da4

129526570404 has 729 divisors, whose sum is σ = 452874786273. Its totient is φ = 31095187200.

The previous prime is 129526570361. The next prime is 129526570421. The reversal of 129526570404 is 404075625921.

The square root of 129526570404 is 359898.

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

129526570404 is a `hidden beast` number, since 1 + 29 + 52 + 6 + 570 + 4 + 0 + 4 = 666.

129526570404 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 6241316004 + 123285254400 = 79002^2 + 351120^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 129526570404.

It is an unprimeable number.

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 242 ways as a sum of consecutive naturals, for example, 3159184624 + ... + 3159184664.

Almost surely, 2129526570404 is an apocalyptic number.

129526570404 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

129526570404 is the 359898-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129526570404

129526570404 is an abundant number, since it is smaller than the sum of its proper divisors (323348215869).

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

129526570404 is a wasteful number, since it uses less digits than its factorization.

129526570404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 129526570404 in words is "one hundred twenty-nine billion, five hundred twenty-six million, five hundred seventy thousand, four hundred four".