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6106030080 = 21335173779
BaseRepresentation
bin1011010111111001…
…01010000000000000
3120202112120110121020
411223330222000000
5100001120430310
62445521225440
7304212253653
oct55374520000
916675513536
106106030080
112653770857
121224a92280
13764041167
1441cd2d89a
1525b0ce170
hex16bf2a000

6106030080 has 448 divisors, whose sum is σ = 21515466240. Its totient is φ = 1472200704.

The previous prime is 6106030037. The next prime is 6106030141. The reversal of 6106030080 is 800306016.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 6106030080.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 77291481 + ... + 77291559.

Almost surely, 26106030080 is an apocalyptic number.

6106030080 is a gapful number since it is divisible by the number (60) 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 6106030080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10757733120).

6106030080 is an abundant number, since it is smaller than the sum of its proper divisors (15409436160).

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

6106030080 is a wasteful number, since it uses less digits than its factorization.

6106030080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 6106030080 is about 78141.0908549401. The cubic root of 6106030080 is about 1827.7620108114.

Adding to 6106030080 its reverse (800306016), we get a palindrome (6906336096).

The spelling of 6106030080 in words is "six billion, one hundred six million, thirty thousand, eighty".