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42644360304 = 24347131919031
BaseRepresentation
bin100111101101110011…
…010100110001110000
311002001221212221220000
4213231303110301300
51144313424012204
631331320350000
73036524040030
oct475563246160
9132057787800
1042644360304
11170a36a2087
128321615300
134037b878c0
1420c78798c0
151198c2b039
hex9edcd4c70

42644360304 has 400 divisors, whose sum is σ = 159911431680. Its totient is φ = 10654364160.

The previous prime is 42644360293. The next prime is 42644360351. The reversal of 42644360304 is 40306344624.

42644360304 is a `hidden beast` number, since 4 + 2 + 6 + 4 + 43 + 603 + 0 + 4 = 666.

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 (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2231269 + ... + 2250299.

Almost surely, 242644360304 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 42644360304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79955715840).

42644360304 is an abundant number, since it is smaller than the sum of its proper divisors (117267071376).

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

42644360304 is a wasteful number, since it uses less digits than its factorization.

42644360304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19090 (or 19075 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

The spelling of 42644360304 in words is "forty-two billion, six hundred forty-four million, three hundred sixty thousand, three hundred four".