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10652261152 = 251361419777
BaseRepresentation
bin10011110101110110…
…01001101100100000
31000111101002221012211
421322323021230200
5133303434324102
64521002531504
7524654503651
oct117273115440
930441087184
1010652261152
114576a18515
122093506b94
131009b83710
14730a31528
154252a07d7
hex27aec9b20

10652261152 has 48 divisors (see below), whose sum is σ = 22955140152. Its totient is φ = 4835819520.

The previous prime is 10652261117. The next prime is 10652261153. The reversal of 10652261152 is 25116225601.

10652261152 is digitally balanced in base 2, 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 4 ways, for example, as 7184935696 + 3467325456 = 84764^2 + 58884^2 .

It is a super-2 number, since 2×106522611522 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10652261153) 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, 184513 + ... + 235264.

Almost surely, 210652261152 is an apocalyptic number.

It is an amenable number.

10652261152 is an abundant number, since it is smaller than the sum of its proper divisors (12302879000).

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

10652261152 is a wasteful number, since it uses less digits than its factorization.

10652261152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419861 (or 419853 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 31.

Adding to 10652261152 its reverse (25116225601), we get a palindrome (35768486753).

The spelling of 10652261152 in words is "ten billion, six hundred fifty-two million, two hundred sixty-one thousand, one hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 32 52 61 104 122 208 244 416 488 793 976 1586 1952 3172 6344 12688 25376 419777 839554 1679108 3358216 5457101 6716432 10914202 13432864 21828404 25606397 43656808 51212794 87313616 102425588 174627232 204851176 332883161 409702352 665766322 819404704 1331532644 2663065288 5326130576 10652261152