Search a number
-
+
104827353221529 = 3234128412
BaseRepresentation
bin10111110101011100000101…
…001001101100100110011001
3111202011101201111001121002100
4113311130011021230212121
5102214442404411042104
61010541004331354013
731036345351406061
oct2765340511544631
9452141644047070
10104827353221529
1130446038060744
12b9102b05b2909
13466523bb12213
141bc59571c43a1
15c1bc00125139
hex5f570526c999

104827353221529 has 9 divisors (see below), whose sum is σ = 151417332353599. Its totient is φ = 69884881670640.

The previous prime is 104827353221519. The next prime is 104827353221597. The reversal of 104827353221529 is 925122353728401.

The square root of 104827353221529 is 10238523.

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

104827353221529 is a `hidden beast` number, since 1 + 0 + 4 + 8 + 2 + 73 + 532 + 2 + 15 + 29 = 666.

It can be written as a sum of positive squares in only one way, i.e., 96686374723929 + 8140978497600 = 9832923^2 + 2853240^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 104827353221529 - 211 = 104827353219481 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (104827353221509) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 29009149 + ... + 32421989.

Almost surely, 2104827353221529 is an apocalyptic number.

104827353221529 is the 10238523-rd square number.

104827353221529 is the 5119262-nd centered octagonal number.

It is an amenable number.

104827353221529 is a deficient number, since it is larger than the sum of its proper divisors (46589979132070).

104827353221529 is an frugal number, since it uses more digits than its factorization.

104827353221529 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6825688 (or 3412844 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 104827353221529 in words is "one hundred four trillion, eight hundred twenty-seven billion, three hundred fifty-three million, two hundred twenty-one thousand, five hundred twenty-nine".

Divisors: 1 3 9 3412841 10238523 30715569 11647483691281 34942451073843 104827353221529