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42021645120 = 263257131091471
BaseRepresentation
bin100111001000101011…
…110110101101000000
311000110120010202020200
4213020223312231000
51142030020120440
631145433405200
73015223042620
oct471053665500
9130416122220
1042021645120
1116904139a34
128188b69800
133c68b67a90
142068c9c880
15115e222c30
hex9c8af6b40

42021645120 has 672 divisors, whose sum is σ = 179645706240. Its totient is φ = 8778792960.

The previous prime is 42021645119. The next prime is 42021645157. The reversal of 42021645120 is 2154612024.

42021645120 is a `hidden beast` number, since 4 + 2 + 0 + 2 + 1 + 645 + 12 + 0 = 666.

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

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 95 ways as a sum of consecutive naturals, for example, 28565985 + ... + 28567455.

It is an arithmetic number, because the mean of its divisors is an integer number (267329920).

Almost surely, 242021645120 is an apocalyptic number.

42021645120 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 42021645120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89822853120).

42021645120 is an abundant number, since it is smaller than the sum of its proper divisors (137624061120).

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

42021645120 is a wasteful number, since it uses less digits than its factorization.

42021645120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1623 (or 1610 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 42021645120 in words is "forty-two billion, twenty-one million, six hundred forty-five thousand, one hundred twenty".