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42608885760 = 220335743
BaseRepresentation
bin100111101011101100…
…000000000000000000
311001222111010122222000
4213223230000000000
51144230333321020
631324012144000
73035613360510
oct475354000000
9131874118860
1042608885760
1117085672581
128311768000
134030716b4c
1420c2c83840
151195a70090
hex9ebb00000

42608885760 has 672 divisors, whose sum is σ = 177167316480. Its totient is φ = 9512681472.

The previous prime is 42608885743. The next prime is 42608885771. The reversal of 42608885760 is 6758880624.

42608885760 is a `hidden beast` number, since 4 + 2 + 60 + 8 + 8 + 8 + 576 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 42608885697 and 42608885706.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 990904299 + ... + 990904341.

It is an arithmetic number, because the mean of its divisors is an integer number (263641840).

Almost surely, 242608885760 is an apocalyptic number.

42608885760 is a gapful number since it is divisible by the number (40) 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 42608885760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88583658240).

42608885760 is an abundant number, since it is smaller than the sum of its proper divisors (134558430720).

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

42608885760 is an frugal number, since it uses more digits than its factorization.

42608885760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

42608885760 divided by its product of nonzero digits (5160960) gives a triangular number (8256 = T128).

The spelling of 42608885760 in words is "forty-two billion, six hundred eight million, eight hundred eighty-five thousand, seven hundred sixty".