Search a number
-
+
11880780912 = 243271121359127
BaseRepresentation
bin10110001000010011…
…00101010001110000
31010122222210012111200
423010021211101300
5143312434442122
65242530211200
7600262654140
oct130411452160
933588705450
1011880780912
115047433600
122376a23b00
1311745521a0
14809c66920
154980715ac
hex2c4265470

11880780912 has 720 divisors, whose sum is σ = 46103715840. Its totient is φ = 2778209280.

The previous prime is 11880780827. The next prime is 11880780913. The reversal of 11880780912 is 21908708811.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11880780913) 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 143 ways as a sum of consecutive naturals, for example, 93549393 + ... + 93549519.

Almost surely, 211880780912 is an apocalyptic number.

11880780912 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 11880780912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23051857920).

11880780912 is an abundant number, since it is smaller than the sum of its proper divisors (34222934928).

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

11880780912 is a wasteful number, since it uses less digits than its factorization.

11880780912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 45.

The spelling of 11880780912 in words is "eleven billion, eight hundred eighty million, seven hundred eighty thousand, nine hundred twelve".