Search a number
-
+
42639830016 = 210371982879
BaseRepresentation
bin100111101101100010…
…000010110000000000
311002001122100210111120
4213231202002300000
51144311244030031
631331035312240
73036440401140
oct475542026000
9132048323446
1042639830016
11170a1088443
12831bbab680
134036c5c864
1420c701a920
151198633a96
hex9ed882c00

42639830016 has 88 divisors (see below), whose sum is σ = 129886571520. Its totient is φ = 12182802432.

The previous prime is 42639830003. The next prime is 42639830017. The reversal of 42639830016 is 61003893624.

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

It is a self number, because there is not a number n which added to its sum of digits gives 42639830016.

It is not an unprimeable number, because it can be changed into a prime (42639830017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 969936 + ... + 1012943.

Almost surely, 242639830016 is an apocalyptic number.

It is an amenable number.

42639830016 is an abundant number, since it is smaller than the sum of its proper divisors (87246741504).

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

42639830016 is a wasteful number, since it uses less digits than its factorization.

42639830016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1982909 (or 1982891 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The spelling of 42639830016 in words is "forty-two billion, six hundred thirty-nine million, eight hundred thirty thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1024 1344 1536 1792 2688 3072 3584 5376 7168 10752 21504 1982879 3965758 5948637 7931516 11897274 13880153 15863032 23794548 27760306 31726064 41640459 47589096 55520612 63452128 83280918 95178192 111041224 126904256 166561836 190356384 222082448 253808512 333123672 380712768 444164896 507617024 666247344 761425536 888329792 1015234048 1332494688 1522851072 1776659584 2030468096 2664989376 3045702144 3553319168 5329978752 6091404288 7106638336 10659957504 14213276672 21319915008 42639830016