Search a number
BaseRepresentation
bin100000010000000010…
…0000000000000000000
320121202200000021000001
41000200010000000000
52113314343134344
651452202205344
75001156104032
oct1004004000000
9217680007001
1069257396224
112740aaa3945
121150a1b3854
1366b963c533
1434d014bc52
151c05324ed4
hex1020100000

69257396224 has 63 divisors (see below), whose sum is σ = 139055791357. Its totient is φ = 34493956096.

The previous prime is 69257396209. The next prime is 69257396249. The reversal of 69257396224 is 42269375296.

The square root of 69257396224 is 263168.

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., 68183654400 + 1073741824 = 261120^2 + 32768^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 269483904 + ... + 269484160.

Almost surely, 269257396224 is an apocalyptic number.

69257396224 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

69257396224 is the 263168-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 69257396224

69257396224 is an abundant number, since it is smaller than the sum of its proper divisors (69798395133).

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

69257396224 is an frugal number, since it uses more digits than its factorization.

69257396224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 259 counting only the distinct ones).

The product of its digits is 9797760, while the sum is 55.

The spelling of 69257396224 in words is "sixty-nine billion, two hundred fifty-seven million, three hundred ninety-six thousand, two hundred twenty-four".