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21284475387808 = 2547233274122159
BaseRepresentation
bin1001101011011101011011…
…00110000011111110100000
32210100202221200111221120011
410311232231212003332200
510242211101144402213
6113133541503254304
74324516066461253
oct465565546037640
983322850457504
1021284475387808
116866771520316
1224790a78aa394
13bb516ac704c9
14538261a6109a
1526d9d0dbb03d
hex135bad983fa0

21284475387808 has 96 divisors (see below), whose sum is σ = 42996672875520. Its totient is φ = 10366852515840.

The previous prime is 21284475387787. The next prime is 21284475387811. The reversal of 21284475387808 is 80878357448212.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 960523033 + ... + 960545191.

It is an arithmetic number, because the mean of its divisors is an integer number (447882009120).

Almost surely, 221284475387808 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21284475387808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21498336437760).

21284475387808 is an abundant number, since it is smaller than the sum of its proper divisors (21712197487712).

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

21284475387808 is a wasteful number, since it uses less digits than its factorization.

21284475387808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25190 (or 25182 counting only the distinct ones).

The product of its (nonzero) digits is 192675840, while the sum is 67.

The spelling of 21284475387808 in words is "twenty-one trillion, two hundred eighty-four billion, four hundred seventy-five million, three hundred eighty-seven thousand, eight hundred eight".

Divisors: 1 2 4 8 16 32 47 94 188 233 376 466 752 932 1504 1864 2741 3728 5482 7456 10951 10964 21902 21928 22159 43804 43856 44318 87608 87712 88636 128827 175216 177272 257654 350432 354544 515308 638653 709088 1030616 1041473 1277306 2061232 2082946 2554612 4122464 4165892 5109224 5163047 8331784 10218448 10326094 16663568 20436896 20652188 30016691 33327136 41304376 60033382 60737819 82608752 120066764 121475638 165217504 240133528 242663209 242951276 480267056 485326418 485902552 960534112 970652836 971805104 1941305672 1943610208 2854677493 3882611344 5709354986 7765222688 11418709972 14151911827 22837419944 28303823654 45674839888 56607647308 91349679776 113215294616 226430589232 452861178464 665139855869 1330279711738 2660559423476 5321118846952 10642237693904 21284475387808