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12505741968 = 243449580259
BaseRepresentation
bin10111010010110011…
…00111101010010000
31012021112202111220110
423221121213222100
5201102432220333
65424533241320
7621622024056
oct135131475220
935245674813
1012505741968
115338190045
122510193240
131243b7a325
14868c6a1d6
154d2d70063
hex2e9667a90

12505741968 has 40 divisors (see below), whose sum is σ = 32378508000. Its totient is φ = 4159289344.

The previous prime is 12505741967. The next prime is 12505741973. The reversal of 12505741968 is 86914750521.

It is a happy number.

12505741968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (12505741967) 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, 268578 + ... + 311681.

It is an arithmetic number, because the mean of its divisors is an integer number (809462700).

Almost surely, 212505741968 is an apocalyptic number.

It is an amenable number.

12505741968 is an abundant number, since it is smaller than the sum of its proper divisors (19872766032).

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

12505741968 is a wasteful number, since it uses less digits than its factorization.

12505741968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580719 (or 580713 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 48.

The spelling of 12505741968 in words is "twelve billion, five hundred five million, seven hundred forty-one thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 449 898 1347 1796 2694 3592 5388 7184 10776 21552 580259 1160518 1740777 2321036 3481554 4642072 6963108 9284144 13926216 27852432 260536291 521072582 781608873 1042145164 1563217746 2084290328 3126435492 4168580656 6252870984 12505741968