Search a number
-
+
11555152000000 = 210567103171
BaseRepresentation
bin1010100000100110010010…
…1110101111010000000000
31111220122212102002021112121
42220021210232233100000
53003304422403000000
640324210305334024
72301555303262630
oct250114456572000
944818772067477
1011555152000000
1137555700752a4
121367571037314
1365a8527bc74b
142bd3b54366c0
15150899110b1a
hexa8264baf400

11555152000000 has 308 divisors, whose sum is σ = 32998496988832. Its totient is φ = 3961728000000.

The previous prime is 11555151999983. The next prime is 11555152000001. The reversal of 11555152000000 is 25155511.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11555152000001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 111948415 + ... + 112051585.

Almost surely, 211555152000000 is an apocalyptic number.

11555152000000 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 11555152000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16499248494416).

11555152000000 is an abundant number, since it is smaller than the sum of its proper divisors (21443344988832).

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

11555152000000 is an frugal number, since it uses more digits than its factorization.

11555152000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103228 (or 103185 counting only the distinct ones).

The product of its (nonzero) digits is 1250, while the sum is 25.

Adding to 11555152000000 its reverse (25155511), we get a palindrome (11555177155511).

The spelling of 11555152000000 in words is "eleven trillion, five hundred fifty-five billion, one hundred fifty-two million", and thus it is an aban number.