Search a number
-
+
13022646912 = 273311509673
BaseRepresentation
bin11000010000011010…
…11101001010000000
31020121120102000012000
430020031131022000
5203132244200122
65552120304000
7640466446422
oct141015351200
936546360160
1013022646912
115582a43410
122635312000
1312c6ca0b42
148b7782812
155134270ac
hex30835d280

13022646912 has 256 divisors, whose sum is σ = 42073776000. Its totient is φ = 3932651520.

The previous prime is 13022646899. The next prime is 13022646971. The reversal of 13022646912 is 21964622031.

It is a happy number.

13022646912 is a `hidden beast` number, since 1 + 3 + 0 + 2 + 2 + 646 + 9 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19349808 + ... + 19350480.

Almost surely, 213022646912 is an apocalyptic number.

13022646912 is a gapful number since it is divisible by the number (12) 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 13022646912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21036888000).

13022646912 is an abundant number, since it is smaller than the sum of its proper divisors (29051129088).

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

13022646912 is a wasteful number, since it uses less digits than its factorization.

13022646912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1216 (or 1198 counting only the distinct ones).

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

The spelling of 13022646912 in words is "thirteen billion, twenty-two million, six hundred forty-six thousand, nine hundred twelve".