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12864601841 = 7134359103541
BaseRepresentation
bin10111111101100101…
…00011111011110001
31020012120000111002212
423332302203323301
5202321314224331
65524313021505
7633540211550
oct137662437361
936176014085
1012864601841
115501806853
1225b03b4895
1312a0316150
148a07a1d97
15504608d2b
hex2feca3ef1

12864601841 has 64 divisors (see below), whose sum is σ = 16666890240. Its totient is φ = 9660591360.

The previous prime is 12864601801. The next prime is 12864601853. The reversal of 12864601841 is 14810646821.

It is a happy number.

It is not a de Polignac number, because 12864601841 - 226 = 12797492977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12864601801) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23779031 + ... + 23779571.

It is an arithmetic number, because the mean of its divisors is an integer number (260420160).

Almost surely, 212864601841 is an apocalyptic number.

It is an amenable number.

12864601841 is a deficient number, since it is larger than the sum of its proper divisors (3802288399).

12864601841 is a wasteful number, since it uses less digits than its factorization.

12864601841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 766.

The product of its (nonzero) digits is 73728, while the sum is 41.

The spelling of 12864601841 in words is "twelve billion, eight hundred sixty-four million, six hundred one thousand, eight hundred forty-one".

Divisors: 1 7 13 43 59 91 103 301 413 541 559 721 767 1339 2537 3787 3913 4429 5369 6077 7033 9373 17759 23263 31003 31919 32981 42539 49231 55723 57577 79001 162841 223433 230867 261311 302419 390061 403039 414947 553007 724399 1372517 1829177 2116933 2396089 2904629 3287657 3397043 5070793 9607619 16772623 17842721 23013599 23779301 31149157 42739541 124899047 141369251 218044099 299176787 989584757 1837800263 12864601841