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129385528804 = 2272256932
BaseRepresentation
bin111100001111111111…
…0100111110111100100
3110100222002200212121101
41320133332213313210
54104440143410204
6135234444525444
712230202564100
oct1703776476744
9410862625541
10129385528804
114a9658378a4
12210aab50884
13c27c7b01cc
146395a36900
153573e37ea4
hex1e1ffa7de4

129385528804 has 27 divisors (see below), whose sum is σ = 263402221257. Its totient is φ = 55448782704.

The previous prime is 129385528763. The next prime is 129385528889. The reversal of 129385528804 is 408825583921.

The square root of 129385528804 is 359702.

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

129385528804 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., 115117704100 + 14267824704 = 339290^2 + 119448^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5022982 + ... + 5048674.

Almost surely, 2129385528804 is an apocalyptic number.

129385528804 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

129385528804 is the 359702-nd square number.

It is an amenable number.

129385528804 is an abundant number, since it is smaller than the sum of its proper divisors (134016692453).

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

129385528804 is an frugal number, since it uses more digits than its factorization.

129385528804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51404 (or 25702 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 55.

The spelling of 129385528804 in words is "one hundred twenty-nine billion, three hundred eighty-five million, five hundred twenty-eight thousand, eight hundred four".

Divisors: 1 2 4 7 14 28 49 98 196 25693 51386 102772 179851 359702 719404 1258957 2517914 5035828 660130249 1320260498 2640520996 4620911743 9241823486 18483646972 32346382201 64692764402 129385528804