Search a number
-
+
13267060992 = 283219378191
BaseRepresentation
bin11000101101100011…
…10100100100000000
31021020121022112021100
430112301310210000
5204132331422432
610032251054400
7646525105053
oct142661644400
937217275240
1013267060992
115698a01319
1226a3141400
131335808b63
148dc006a9a
15529b0607c
hex316c74900

13267060992 has 216 divisors, whose sum is σ = 41358786560. Its totient is φ = 4075868160.

The previous prime is 13267060991. The next prime is 13267061021. The reversal of 13267060992 is 29906076231.

It is a happy number.

13267060992 is a `hidden beast` number, since 1 + 32 + 6 + 7 + 0 + 609 + 9 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (13267060991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1615617 + ... + 1623807.

Almost surely, 213267060992 is an apocalyptic number.

13267060992 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 13267060992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20679393280).

13267060992 is an abundant number, since it is smaller than the sum of its proper divisors (28091725568).

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

13267060992 is a wasteful number, since it uses less digits than its factorization.

13267060992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8269 (or 8252 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 13267060992 in words is "thirteen billion, two hundred sixty-seven million, sixty thousand, nine hundred ninety-two".