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42384996544 = 2611449134089
BaseRepresentation
bin100111011110010101…
…111011100011000000
311001101212211220200211
4213132111323203000
51143301024342134
631245453323504
73030224345332
oct473625734300
9131355756624
1042384996544
1116a80253270
12826a796594
133cc6217117
1420a1243452
151181097764
hex9de57b8c0

42384996544 has 56 divisors (see below), whose sum is σ = 91958922000. Its totient is φ = 19222855680.

The previous prime is 42384996473. The next prime is 42384996553. The reversal of 42384996544 is 44569948324.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 249052 + ... + 383140.

Almost surely, 242384996544 is an apocalyptic number.

42384996544 is a gapful number since it is divisible by the number (44) 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 42384996544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45979461000).

42384996544 is an abundant number, since it is smaller than the sum of its proper divisors (49573925456).

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

42384996544 is a wasteful number, since it uses less digits than its factorization.

42384996544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134561 (or 134551 counting only the distinct ones).

The product of its digits is 29859840, while the sum is 58.

The spelling of 42384996544 in words is "forty-two billion, three hundred eighty-four million, nine hundred ninety-six thousand, five hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 352 449 704 898 1796 3592 4939 7184 9878 14368 19756 28736 39512 79024 134089 158048 268178 316096 536356 1072712 1474979 2145424 2949958 4290848 5899916 8581696 11799832 23599664 47199328 60205961 94398656 120411922 240823844 481647688 662265571 963295376 1324531142 1926590752 2649062284 3853181504 5298124568 10596249136 21192498272 42384996544