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28241214336 = 273224514943
BaseRepresentation
bin11010010011010011…
…101011101110000000
32200220011211100000100
4122103103223232000
5430314222324321
620550203122400
72016562234566
oct322323535600
980804740010
1028241214336
1110a8247a365
125581b13400
132880ba551a
14151ca1da36
15b04512326
hex6934ebb80

28241214336 has 48 divisors (see below), whose sum is σ = 81267039360. Its totient is φ = 9413737728.

The previous prime is 28241214311. The next prime is 28241214343. The reversal of 28241214336 is 63341214282.

28241214336 is a `hidden beast` number, since 282 + 41 + 2 + 1 + 4 + 336 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-4 number, since 4×282412143364 (a number of 43 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 28241214336.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12256320 + ... + 12258623.

It is an arithmetic number, because the mean of its divisors is an integer number (1693063320).

Almost surely, 228241214336 is an apocalyptic number.

It is an amenable number.

28241214336 is an abundant number, since it is smaller than the sum of its proper divisors (53025825024).

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

28241214336 is a wasteful number, since it uses less digits than its factorization.

28241214336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24514963 (or 24514948 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The spelling of 28241214336 in words is "twenty-eight billion, two hundred forty-one million, two hundred fourteen thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 24514943 49029886 73544829 98059772 147089658 196119544 220634487 294179316 392239088 441268974 588358632 784478176 882537948 1176717264 1568956352 1765075896 2353434528 3137912704 3530151792 4706869056 7060303584 9413738112 14120607168 28241214336