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5511131136 = 2123572113
BaseRepresentation
bin1010010000111110…
…10011000000000000
3112020002011110200000
411020133103000000
542241322144021
62310510400000
7253366561500
oct51037230000
915202143600
105511131136
112378987435
121099800000
1369aa10354
143a3d13a00
15223c6cb26
hex1487d3000

5511131136 has 468 divisors, whose sum is σ = 19373942952. Its totient is φ = 1560674304.

The previous prime is 5511131099. The next prime is 5511131137. The reversal of 5511131136 is 6311311155.

It is a happy number.

5511131136 is a `hidden beast` number, since 5 + 511 + 13 + 1 + 136 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (5511131137) 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 35 ways as a sum of consecutive naturals, for example, 48771016 + ... + 48771128.

It is an arithmetic number, because the mean of its divisors is an integer number (41397314).

Almost surely, 25511131136 is an apocalyptic number.

5511131136 is a gapful number since it is divisible by the number (56) 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 5511131136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9686971476).

5511131136 is an abundant number, since it is smaller than the sum of its proper divisors (13862811816).

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

5511131136 is an equidigital number, since it uses as much as digits as its factorization.

5511131136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 125 counting only the distinct ones).

The product of its digits is 1350, while the sum is 27.

The square root of 5511131136 is about 74236.9930425526. The cubic root of 5511131136 is about 1766.3641769673.

The spelling of 5511131136 in words is "five billion, five hundred eleven million, one hundred thirty-one thousand, one hundred thirty-six".