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42335814528 = 2732713738321
BaseRepresentation
bin100111011011011010…
…010100001110000000
311001021110022012122200
4213123122110032000
51143200432031103
631240535233200
73026056325460
oct473332241600
9131243265580
1042335814528
1116a55511077
128256218800
133cb8c87137
1420988bdba0
15117bad00a3
hex9db694380

42335814528 has 192 divisors, whose sum is σ = 140249322720. Its totient is φ = 12007342080.

The previous prime is 42335814523. The next prime is 42335814529. The reversal of 42335814528 is 82541853324.

42335814528 is a `hidden beast` number, since 4 + 2 + 3 + 3 + 581 + 45 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42335814523) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1085608 + ... + 1123928.

Almost surely, 242335814528 is an apocalyptic number.

42335814528 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 42335814528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70124661360).

42335814528 is an abundant number, since it is smaller than the sum of its proper divisors (97913508192).

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

42335814528 is a wasteful number, since it uses less digits than its factorization.

42335814528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38485 (or 38470 counting only the distinct ones).

The product of its digits is 921600, while the sum is 45.

The spelling of 42335814528 in words is "forty-two billion, three hundred thirty-five million, eight hundred fourteen thousand, five hundred twenty-eight".