Search a number
-
+
11771000000 = 265679149
BaseRepresentation
bin10101111011001101…
…10011010011000000
31010101100012202101222
422331212303103000
5143101334000000
65224005214212
7564460564154
oct127546632300
933340182358
1011771000000
114aa0471581
122346101368
131157895776
147d944b064
1548d5d8a85
hex2bd9b34c0

11771000000 has 196 divisors, whose sum is σ = 29765244000. Its totient is φ = 4617600000.

The previous prime is 11770999997. The next prime is 11771000009. The reversal of 11771000000 is 17711.

11771000000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (11771000009) 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, 78999926 + ... + 79000074.

Almost surely, 211771000000 is an apocalyptic number.

11771000000 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 11771000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14882622000).

11771000000 is an abundant number, since it is smaller than the sum of its proper divisors (17994244000).

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

11771000000 is an frugal number, since it uses more digits than its factorization.

11771000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 49, while the sum is 17.

Adding to 11771000000 its reverse (17711), we get a palindrome (11771017711).

The spelling of 11771000000 in words is "eleven billion, seven hundred seventy-one million", and thus it is an aban number.