Search a number
-
+
13292095680 = 263353149627
BaseRepresentation
bin11000110000100010…
…10100100011000000
31021022100102102102000
430120101110203000
5204210234030210
610034543424000
7650250643353
oct143021244300
937270372360
1013292095680
115701050246
1226ab5b5000
13133aa62a96
1490148229a
1552bdedac0
hex3184548c0

13292095680 has 224 divisors, whose sum is σ = 48405166080. Its totient is φ = 3430149120.

The previous prime is 13292095633. The next prime is 13292095681. The reversal of 13292095680 is 8659029231.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (13292095681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 243027 + ... + 292653.

Almost surely, 213292095680 is an apocalyptic number.

13292095680 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 13292095680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24202583040).

13292095680 is an abundant number, since it is smaller than the sum of its proper divisors (35113070400).

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

13292095680 is a wasteful number, since it uses less digits than its factorization.

13292095680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49684 (or 49668 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 13292095680 in words is "thirteen billion, two hundred ninety-two million, ninety-five thousand, six hundred eighty".