Search a number
-
+
68935128025 = 52525112
BaseRepresentation
bin100000000110011011…
…0101001001111011001
320120221012121100010211
41000030312221033121
52112134343044100
651400211011121
74660163630431
oct1001466511731
9216835540124
1068935128025
112726509aa95
121143a299aa1
136667945aaa
14349d41d2c1
151bd6db81ba
hex100cda93d9

68935128025 has 9 divisors (see below), whose sum is σ = 85481186623. Its totient is φ = 55147052200.

The previous prime is 68935128023. The next prime is 68935128113. The reversal of 68935128025 is 52082153986.

It is a happy number.

The square root of 68935128025 is 262555.

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

It can be written as a sum of positive squares in only one way, i.e., 24816646089 + 44118481936 = 157533^2 + 210044^2 .

It is not a de Polignac number, because 68935128025 - 21 = 68935128023 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 68935128025.

It is not an unprimeable number, because it can be changed into a prime (68935128023) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 1286520 + ... + 1339030.

Almost surely, 268935128025 is an apocalyptic number.

68935128025 is the 262555-th square number.

68935128025 is the 131278-th centered octagonal number.

It is an amenable number.

68935128025 is a deficient number, since it is larger than the sum of its proper divisors (16546058598).

68935128025 is an frugal number, since it uses more digits than its factorization.

68935128025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105032 (or 52516 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 49.

Multiplying 68935128025 by its sum of digits (49), we get a square (3377821273225 = 18378852).

The spelling of 68935128025 in words is "sixty-eight billion, nine hundred thirty-five million, one hundred twenty-eight thousand, twenty-five".

Divisors: 1 5 25 52511 262555 1312775 2757405121 13787025605 68935128025