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42334532352 = 283272374987
BaseRepresentation
bin100111011011010101…
…011011001100000000
311001021100220001211200
4213123111123030000
51143200120013402
631240451541200
73026042405400
oct473325331400
9131240801750
1042334532352
1116a54815822
1282558ba800
133cb8928658
142098668800
15117b92a21c
hex9db55b300

42334532352 has 162 divisors, whose sum is σ = 141989581188. Its totient is φ = 12095548416.

The previous prime is 42334532323. The next prime is 42334532393. The reversal of 42334532352 is 25323543324.

It is a happy number.

42334532352 is a `hidden beast` number, since 4 + 233 + 45 + 32 + 352 = 666.

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

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 17 ways as a sum of consecutive naturals, for example, 74598 + ... + 300389.

Almost surely, 242334532352 is an apocalyptic number.

42334532352 is a gapful number since it is divisible by the number (42) 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 42334532352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70994790594).

42334532352 is an abundant number, since it is smaller than the sum of its proper divisors (99655048836).

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

42334532352 is a wasteful number, since it uses less digits than its factorization.

42334532352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375023 (or 374999 counting only the distinct ones).

The product of its digits is 259200, while the sum is 36.

The spelling of 42334532352 in words is "forty-two billion, three hundred thirty-four million, five hundred thirty-two thousand, three hundred fifty-two".