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42872827824 = 243399242657
BaseRepresentation
bin100111111011011010…
…110110111110110000
311002122212210022102000
4213323122312332300
51200300420442244
631410121254000
73045300011061
oct477332667660
9132585708360
1042872827824
1117200659112
128386034300
1340732cb498
142109d4c568
1511add0a169
hex9fb6b6fb0

42872827824 has 40 divisors (see below), whose sum is σ = 123060895920. Its totient is φ = 14290942464.

The previous prime is 42872827819. The next prime is 42872827831.

It is a happy number.

42872827824 is a `hidden beast` number, since 4 + 287 + 282 + 7 + 82 + 4 = 666.

42872827824 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49620897 + ... + 49621760.

It is an arithmetic number, because the mean of its divisors is an integer number (3076522398).

Almost surely, 242872827824 is an apocalyptic number.

It is an amenable number.

42872827824 is an abundant number, since it is smaller than the sum of its proper divisors (80188068096).

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

42872827824 is a wasteful number, since it uses less digits than its factorization.

42872827824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99242674 (or 99242662 counting only the distinct ones).

The product of its digits is 6422528, while the sum is 54.

The spelling of 42872827824 in words is "forty-two billion, eight hundred seventy-two million, eight hundred twenty-seven thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 99242657 198485314 297727971 396970628 595455942 793941256 893183913 1190911884 1587882512 1786367826 2381823768 2679551739 3572735652 4763647536 5359103478 7145471304 10718206956 14290942608 21436413912 42872827824