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6112942080 = 211357231131
BaseRepresentation
bin1011011000101110…
…00001100000000000
3120210000120122002020
411230113001200000
5100004403121310
62450325321440
7304325102400
oct55427014000
916700518066
106112942080
112657661953
121227266280
137655c12bb
1441dc0c800
1525b9e7170
hex16c5c1800

6112942080 has 576 divisors, whose sum is σ = 23662679040. Its totient is φ = 1341849600.

The previous prime is 6112942061. The next prime is 6112942081. The reversal of 6112942080 is 802492116.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6112942081) 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 47 ways as a sum of consecutive naturals, for example, 46663615 + ... + 46663745.

It is an arithmetic number, because the mean of its divisors is an integer number (41081040).

Almost surely, 26112942080 is an apocalyptic number.

6112942080 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 6112942080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11831339520).

6112942080 is an abundant number, since it is smaller than the sum of its proper divisors (17549736960).

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

6112942080 is a wasteful number, since it uses less digits than its factorization.

6112942080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 6112942080 is about 78185.3060363647. The cubic root of 6112942080 is about 1828.4514236721.

The spelling of 6112942080 in words is "six billion, one hundred twelve million, nine hundred forty-two thousand, eighty".