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28318319678016 = 26322217292
BaseRepresentation
bin1100111000001010111110…
…11000101001001001000000
310201021012112101111000002100
412130011133120221021000
512202431404314144031
6140121131221350400
75651634234453504
oct634053730511100
9121235471430070
1028318319678016
119028806223835
123214343b68400
1312a5538234854
146dc884ac2304
1534195795cde6
hex19c15f629240

28318319678016 has 63 divisors (see below), whose sum is σ = 81169716403321. Its totient is φ = 9439397320704.

The previous prime is 28318319677997. The next prime is 28318319678059. The reversal of 28318319678016 is 61087691381382.

The square root of 28318319678016 is 5321496.

It is a perfect power (a square), and thus also a powerful number.

28318319678016 is a `hidden beast` number, since 283 + 1 + 83 + 196 + 7 + 80 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 18595896791616 + 9722422886400 = 4312296^2 + 3118080^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 127605040 + ... + 127826768.

Almost surely, 228318319678016 is an apocalyptic number.

28318319678016 is the 5321496-th square number.

It is an amenable number.

28318319678016 is an abundant number, since it is smaller than the sum of its proper divisors (52851396725305).

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

28318319678016 is an frugal number, since it uses more digits than its factorization.

28318319678016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443476 (or 221734 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The spelling of 28318319678016 in words is "twenty-eight trillion, three hundred eighteen billion, three hundred nineteen million, six hundred seventy-eight thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 221729 443458 665187 886916 1330374 1773832 1995561 2660748 3547664 3991122 5321496 7095328 7982244 10642992 14190656 15964488 21285984 31928976 42571968 63857952 127715904 49163749441 98327498882 147491248323 196654997764 294982496646 393309995528 442473744969 589964993292 786619991056 884947489938 1179929986584 1573239982112 1769894979876 2359859973168 3146479964224 3539789959752 4719719946336 7079579919504 9439439892672 14159159839008 28318319678016