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6042791160 = 2334571937379
BaseRepresentation
bin1011010000010110…
…11010110011111000
3120121010120121010000
411220023122303320
544333423304120
62435341553000
7302513606640
oct55013326370
916533517100
106042791160
112620aa848a
121207875760
13753bcbb93
1441478b520
1525578b990
hex1682dacf8

6042791160 has 640 divisors, whose sum is σ = 25160256000. Its totient is φ = 1269789696.

The previous prime is 6042791149. The next prime is 6042791201. The reversal of 6042791160 is 611972406.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 15943851 + ... + 15944229.

It is an arithmetic number, because the mean of its divisors is an integer number (39312900).

Almost surely, 26042791160 is an apocalyptic number.

6042791160 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 6042791160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12580128000).

6042791160 is an abundant number, since it is smaller than the sum of its proper divisors (19117464840).

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

6042791160 is a wasteful number, since it uses less digits than its factorization.

6042791160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 6042791160 is about 77735.3919395792. The cubic root of 6042791160 is about 1821.4301804435.

The spelling of 6042791160 in words is "six billion, forty-two million, seven hundred ninety-one thousand, one hundred sixty".