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42416046792 = 233374172283
BaseRepresentation
bin100111100000001100…
…011000001011001000
311001111001021102122000
4213200030120023020
51143332001444132
631252523031000
73031052310000
oct474014301310
9131431242560
1042416046792
1116a96830829
12827906b460
133ccc799152
1420a5407000
151183b7c87c
hex9e03182c8

42416046792 has 480 divisors, whose sum is σ = 146528152800. Its totient is φ = 11365691904.

The previous prime is 42416046779. The next prime is 42416046793. The reversal of 42416046792 is 29764061424.

42416046792 is a `hidden beast` number, since 4 + 2 + 41 + 60 + 467 + 92 = 666.

It is a super-2 number, since 2×424160467922 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42416046793) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 149879883 + ... + 149880165.

It is an arithmetic number, because the mean of its divisors is an integer number (305266985).

Almost surely, 242416046792 is an apocalyptic number.

42416046792 is a gapful number since it is divisible by the number (42) 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 42416046792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73264076400).

42416046792 is an abundant number, since it is smaller than the sum of its proper divisors (104112106008).

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

42416046792 is a wasteful number, since it uses less digits than its factorization.

42416046792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 42416046792 in words is "forty-two billion, four hundred sixteen million, forty-six thousand, seven hundred ninety-two".