Search a number
-
+
11927674080 = 2532573193141
BaseRepresentation
bin10110001101111000…
…11101110011100000
31010210021000121211200
423012330131303200
5143411441032310
65251323241200
7601402362000
oct130674356340
933707017750
1011927674080
115070952093
12238a679200
13118119041a
14812192000
1549c2359c0
hex2c6f1dce0

11927674080 has 1152 divisors, whose sum is σ = 52835328000. Its totient is φ = 2438553600.

The previous prime is 11927674051. The next prime is 11927674091. The reversal of 11927674080 is 8047672911.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 290918860 + ... + 290918900.

It is an arithmetic number, because the mean of its divisors is an integer number (45864000).

Almost surely, 211927674080 is an apocalyptic number.

11927674080 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 11927674080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26417664000).

11927674080 is an abundant number, since it is smaller than the sum of its proper divisors (40907653920).

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

11927674080 is a wasteful number, since it uses less digits than its factorization.

11927674080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 11927674080 in words is "eleven billion, nine hundred twenty-seven million, six hundred seventy-four thousand, eighty".