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13066641126 = 232711191273907
BaseRepresentation
bin11000010101101010…
…10001111011100110
31020201122012010220100
430022311101323212
5203230030004001
610000331244530
7641542421430
oct141265217346
936648163810
1013066641126
1155a5861970
122647ba9746
131303135716
148bd555650
15517217586
hex30ad51ee6

13066641126 has 192 divisors, whose sum is σ = 37456773120. Its totient is φ = 3189170880.

The previous prime is 13066641121. The next prime is 13066641151. The reversal of 13066641126 is 62114666031.

It is a happy number.

It is a super-2 number, since 2×130666411262 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13066641121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3342465 + ... + 3346371.

It is an arithmetic number, because the mean of its divisors is an integer number (195087360).

Almost surely, 213066641126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13066641126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18728386560).

13066641126 is an abundant number, since it is smaller than the sum of its proper divisors (24390131994).

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

13066641126 is a wasteful number, since it uses less digits than its factorization.

13066641126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4079 (or 4076 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 13066641126 in words is "thirteen billion, sixty-six million, six hundred forty-one thousand, one hundred twenty-six".