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10525342208 = 2931897451
BaseRepresentation
bin10011100110101101…
…11111101000000000
31000011112021210011012
421303112333220000
5133023441422313
64500230340052
7521553634613
oct116326775000
930145253135
1010525342208
114511310427
122058aba628
13cb97a6454
1471bc3417a
1541907eda8
hex2735bfa00

10525342208 has 80 divisors (see below), whose sum is σ = 21955380480. Its totient is φ = 5035008000.

The previous prime is 10525342207. The next prime is 10525342211. The reversal of 10525342208 is 80224352501.

10525342208 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105253422082 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (10525342207) 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 7 ways as a sum of consecutive naturals, for example, 1408883 + ... + 1416333.

It is an arithmetic number, because the mean of its divisors is an integer number (274442256).

Almost surely, 210525342208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10525342208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10977690240).

10525342208 is an abundant number, since it is smaller than the sum of its proper divisors (11430038272).

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

10525342208 is an frugal number, since it uses more digits than its factorization.

10525342208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7589 (or 7573 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

Adding to 10525342208 its reverse (80224352501), we get a palindrome (90749694709).

The spelling of 10525342208 in words is "ten billion, five hundred twenty-five million, three hundred forty-two thousand, two hundred eight".

Divisors: 1 2 4 8 16 31 32 62 64 89 124 128 178 248 256 356 496 512 712 992 1424 1984 2759 2848 3968 5518 5696 7451 7936 11036 11392 14902 15872 22072 22784 29804 44144 45568 59608 88288 119216 176576 230981 238432 353152 461962 476864 663139 706304 923924 953728 1326278 1412608 1847848 1907456 2652556 3695696 3814912 5305112 7391392 10610224 14782784 20557309 21220448 29565568 41114618 42440896 59131136 82229236 84881792 118262272 164458472 169763584 328916944 339527168 657833888 1315667776 2631335552 5262671104 10525342208