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42643415232 = 263211371011801
BaseRepresentation
bin100111101101101111…
…101110000011000000
311002001220002221111100
4213231233232003000
51144313203241412
631331244214400
73036513022515
oct475557560300
9132056087440
1042643415232
11170a3107030
12832123a400
1340379166a2
1420c76b130c
151198ae0edc
hex9edbee0c0

42643415232 has 336 divisors, whose sum is σ = 138377944224. Its totient is φ = 12441600000.

The previous prime is 42643415207. The next prime is 42643415239. The reversal of 42643415232 is 23251434624.

42643415232 is a `hidden beast` number, since 4 + 2 + 6 + 4 + 3 + 415 + 232 = 666.

It is a super-2 number, since 2×426434152322 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (42643415239) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 23676732 + ... + 23678532.

Almost surely, 242643415232 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 42643415232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69188972112).

42643415232 is an abundant number, since it is smaller than the sum of its proper divisors (95734528992).

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

42643415232 is a wasteful number, since it uses less digits than its factorization.

42643415232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1968 (or 1955 counting only the distinct ones).

The product of its digits is 138240, while the sum is 36.

Adding to 42643415232 its reverse (23251434624), we get a palindrome (65894849856).

The spelling of 42643415232 in words is "forty-two billion, six hundred forty-three million, four hundred fifteen thousand, two hundred thirty-two".