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42845234460 = 2235731927379
BaseRepresentation
bin100111111001110001…
…100110010100011100
311002120221212102102120
4213321301212110130
51200221340000320
631403254022540
73044513325000
oct477161462434
9132527772376
1042845234460
1117197021886
128378947a50
13406a689a52
142106408700
1511ab6a9440
hex9f9c6651c

42845234460 has 576 divisors, whose sum is σ = 151570944000. Its totient is φ = 9034841088.

The previous prime is 42845234423. The next prime is 42845234461. The reversal of 42845234460 is 6443254824.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42845234461) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 542344701 + ... + 542344779.

It is an arithmetic number, because the mean of its divisors is an integer number (263144000).

Almost surely, 242845234460 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 42845234460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75785472000).

42845234460 is an abundant number, since it is smaller than the sum of its proper divisors (108725709540).

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

42845234460 is a wasteful number, since it uses less digits than its factorization.

42845234460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 42.

The spelling of 42845234460 in words is "forty-two billion, eight hundred forty-five million, two hundred thirty-four thousand, four hundred sixty".