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42859149930 = 23255915153453
BaseRepresentation
bin100111111010100110…
…101011101001101010
311002121221001101212100
4213322212223221222
51200233420244210
631404512154230
73045042522612
oct477246535152
9132557041770
1042859149930
11171a3966773
128381538976
13407051c85c
1421081cba42
1511aca075c0
hex9fa9aba6a

42859149930 has 96 divisors (see below), whose sum is σ = 114075112320. Its totient is φ = 11160777600.

The previous prime is 42859149917. The next prime is 42859149937. The reversal of 42859149930 is 3994195824.

42859149930 is a `hidden beast` number, since 4 + 2 + 8 + 591 + 49 + 9 + 3 + 0 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (42859149937) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 775084 + ... + 828536.

It is an arithmetic number, because the mean of its divisors is an integer number (1188282420).

Almost surely, 242859149930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42859149930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57037556160).

42859149930 is an abundant number, since it is smaller than the sum of its proper divisors (71215962390).

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

42859149930 is a wasteful number, since it uses less digits than its factorization.

42859149930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53676 (or 53673 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 42859149930 in words is "forty-two billion, eight hundred fifty-nine million, one hundred forty-nine thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 59 90 118 151 177 295 302 354 453 531 590 755 885 906 1062 1359 1510 1770 2265 2655 2718 4530 5310 6795 8909 13590 17818 26727 44545 53453 53454 80181 89090 106906 133635 160359 160362 267265 267270 320718 400905 481077 534530 801795 801810 962154 1603590 2405385 3153727 4810770 6307454 8071403 9461181 15768635 16142806 18922362 24214209 28383543 31537270 40357015 47305905 48428418 56767086 72642627 80714030 94611810 121071045 141917715 145285254 242142090 283835430 363213135 476212777 726426270 952425554 1428638331 2381063885 2857276662 4285914993 4762127770 7143191655 8571829986 14286383310 21429574965 42859149930