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42158991056 = 24713244711833
BaseRepresentation
bin100111010000110111…
…110010011011010000
311000211010120122110012
4213100313302123100
51142320200203211
631211221254052
73021511340240
oct472067623320
9130733518405
1042158991056
1116974718a76
128206b64328
133c8b456070
14207d211b20
15116b302d8b
hex9d0df26d0

42158991056 has 80 divisors (see below), whose sum is σ = 100582562304. Its totient is φ = 16670057472.

The previous prime is 42158991031. The next prime is 42158991059. The reversal of 42158991056 is 65019985124.

42158991056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 42158990995 and 42158991013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42158991059) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3556916 + ... + 3568748.

Almost surely, 242158991056 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 42158991056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50291281152).

42158991056 is an abundant number, since it is smaller than the sum of its proper divisors (58423571248).

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

42158991056 is a wasteful number, since it uses less digits than its factorization.

42158991056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14308 (or 14302 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 50.

The spelling of 42158991056 in words is "forty-two billion, one hundred fifty-eight million, nine hundred ninety-one thousand, fifty-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 182 208 364 728 1456 2447 4894 9788 11833 17129 19576 23666 31811 34258 39152 47332 63622 68516 82831 94664 127244 137032 153829 165662 189328 222677 254488 274064 307658 331324 445354 508976 615316 662648 890708 1076803 1230632 1325296 1781416 2153606 2461264 3562832 4307212 8614424 17228848 28955351 57910702 115821404 202687457 231642808 376419563 405374914 463285616 752839126 810749828 1505678252 1621499656 2634936941 3011356504 3242999312 5269873882 6022713008 10539747764 21079495528 42158991056