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54202122752 = 29102892
BaseRepresentation
bin110010011110101100…
…101100001000000000
312011220102212010100212
4302132230230020000
51342001220412002
640522231333252
73626115304331
oct623654541000
9164812763325
1054202122752
1120a9475a078
12a608221228
13515a50c9ab
1428a285a288
151623743352
hexc9eb2c200

54202122752 has 30 divisors (see below), whose sum is σ = 108308908653. Its totient is φ = 27098427392.

The previous prime is 54202122721. The next prime is 54202122761. The reversal of 54202122752 is 25722120245.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 44005970176 + 10196152576 = 209776^2 + 100976^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=164624.

It is a super-2 number, since 2×542021227522 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 5262824 + ... + 5273112.

Almost surely, 254202122752 is an apocalyptic number.

It is an amenable number.

54202122752 is a deficient number, since it is larger than the sum of its proper divisors (54106785901).

54202122752 is an frugal number, since it uses more digits than its factorization.

54202122752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20596 (or 10291 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 32.

Multiplying 54202122752 by its sum of digits (32), we get a square (1734467928064 = 13169922).

54202122752 divided by its sum of digits (32) gives a square (1693816336 = 411562).

Adding to 54202122752 its reverse (25722120245), we get a palindrome (79924242997).

The spelling of 54202122752 in words is "fifty-four billion, two hundred two million, one hundred twenty-two thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 16 32 64 128 256 512 10289 20578 41156 82312 164624 329248 658496 1316992 2633984 5267968 105863521 211727042 423454084 846908168 1693816336 3387632672 6775265344 13550530688 27101061376 54202122752