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42370354048 = 2711376167199
BaseRepresentation
bin100111011101011110…
…000100101110000000
311001100212021222222011
4213131132010232000
51143233302312143
631244211422304
73026656032001
oct473536045600
9131325258864
1042370354048
1116a72a62130
1282658b4994
133cc318b419
14209d3111a8
15117eb53e9d
hex9dd784b80

42370354048 has 256 divisors, whose sum is σ = 98047296000. Its totient is φ = 18065203200.

The previous prime is 42370354007. The next prime is 42370354067. The reversal of 42370354048 is 84045307324.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 42370354048.

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 31 ways as a sum of consecutive naturals, for example, 212916253 + ... + 212916451.

It is an arithmetic number, because the mean of its divisors is an integer number (382997250).

Almost surely, 242370354048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42370354048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49023648000).

42370354048 is an abundant number, since it is smaller than the sum of its proper divisors (55676941952).

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

42370354048 is a wasteful number, since it uses less digits than its factorization.

42370354048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 40.

The spelling of 42370354048 in words is "forty-two billion, three hundred seventy million, three hundred fifty-four thousand, forty-eight".