Search a number
-
+
13064866080 = 2535721035393
BaseRepresentation
bin11000010101011101…
…00000100100100000
31020201111211221222220
430022232200210200
5203224101203310
610000225231040
7641521346400
oct141256404440
936644757886
1013064866080
1155a485a292
122647492480
1313029637b6
148bd212800
15516eb6670
hex30aba0920

13064866080 has 288 divisors, whose sum is σ = 48347155584. Its totient is φ = 2956713984.

The previous prime is 13064866079. The next prime is 13064866091. The reversal of 13064866080 is 8066846031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2419864 + ... + 2425256.

It is an arithmetic number, because the mean of its divisors is an integer number (167872068).

Almost surely, 213064866080 is an apocalyptic number.

13064866080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13064866080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24173577792).

13064866080 is an abundant number, since it is smaller than the sum of its proper divisors (35282289504).

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

13064866080 is a wasteful number, since it uses less digits than its factorization.

13064866080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5528 (or 5513 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The spelling of 13064866080 in words is "thirteen billion, sixty-four million, eight hundred sixty-six thousand, eighty".