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42122556036 = 2237111074091
BaseRepresentation
bin100111001110101100…
…110011001010000100
311000201121000120000000
4213032230303022010
51142231333243121
631203440321300
73020556550551
oct471654631204
9130647016000
1042122556036
11169560a2890
1281b6913230
133c83a3a092
142078449a28
151168007526
hex9ceb33284

42122556036 has 192 divisors, whose sum is σ = 121762206720. Its totient is φ = 12642026400.

The previous prime is 42122556031. The next prime is 42122556041. The reversal of 42122556036 is 63065522124.

42122556036 is a `hidden beast` number, since 4 + 21 + 2 + 25 + 5 + 603 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (42122556031) and next prime (42122556041).

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 (42122556031) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 10294351 + ... + 10298441.

It is an arithmetic number, because the mean of its divisors is an integer number (634178160).

Almost surely, 242122556036 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 42122556036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60881103360).

42122556036 is an abundant number, since it is smaller than the sum of its proper divisors (79639650684).

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

42122556036 is a wasteful number, since it uses less digits than its factorization.

42122556036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4234 (or 4214 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 42122556036 in words is "forty-two billion, one hundred twenty-two million, five hundred fifty-six thousand, thirty-six".