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21188878096 = 2415122412
BaseRepresentation
bin10011101110111101…
…001001111100010000
32000200200121112101211
4103232331021330100
5321343323044341
613422315105504
71350036330541
oct235675117420
960620545354
1021188878096
118a93629801
124134142294
131cc8aa69b9
14105015c4c8
1584030b181
hex4eef49f10

21188878096 has 45 divisors (see below), whose sum is σ = 41499322389. Its totient is φ = 10480608000.

The previous prime is 21188878031. The next prime is 21188878111. The reversal of 21188878096 is 69087888112.

The square root of 21188878096 is 145564.

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

It can be written as a sum of positive squares in only one way, i.e., 15935527696 + 5253350400 = 126236^2 + 72480^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 21188878096.

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, 87920536 + ... + 87920776.

Almost surely, 221188878096 is an apocalyptic number.

21188878096 is the 145564-th square number.

It is an amenable number.

21188878096 is a deficient number, since it is larger than the sum of its proper divisors (20310444293).

21188878096 is an frugal number, since it uses more digits than its factorization.

21188878096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 58.

The spelling of 21188878096 in words is "twenty-one billion, one hundred eighty-eight million, eight hundred seventy-eight thousand, ninety-six".

Divisors: 1 2 4 8 16 151 241 302 482 604 964 1208 1928 2416 3856 22801 36391 45602 58081 72782 91204 116162 145564 182408 232324 291128 364816 464648 582256 929296 5495041 8770231 10990082 17540462 21980164 35080924 43960328 70161848 87920656 140323696 1324304881 2648609762 5297219524 10594439048 21188878096