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42661686528 = 2837233313
BaseRepresentation
bin100111101110110101…
…011010110100000000
311002010011111020000000
4213232311122310000
51144332342432103
631333140000000
73040124231556
oct475665326400
9132104436000
1042661686528
111710245657a
128327390000
13403b642cc6
1420c9ca9bd6
15119a4eeaa3
hex9eed5ad00

42661686528 has 288 divisors, whose sum is σ = 133308698880. Its totient is φ = 13598171136.

The previous prime is 42661686527. The next prime is 42661686533. The reversal of 42661686528 is 82568616624.

42661686528 is a `hidden beast` number, since 4 + 26 + 6 + 16 + 86 + 528 = 666.

42661686528 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42661686523) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12875400 + ... + 12878712.

Almost surely, 242661686528 is an apocalyptic number.

42661686528 is a gapful number since it is divisible by the number (48) 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 42661686528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66654349440).

42661686528 is an abundant number, since it is smaller than the sum of its proper divisors (90647012352).

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

42661686528 is an frugal number, since it uses more digits than its factorization.

42661686528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3373 (or 3341 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 54.

The spelling of 42661686528 in words is "forty-two billion, six hundred sixty-one million, six hundred eighty-six thousand, five hundred twenty-eight".