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21284405527 = 7211732272383
BaseRepresentation
bin10011110100101001…
…100100000100010111
32000221100100211101211
4103310221210010113
5322042301434102
613440010402251
71352306314300
oct236451440427
960840324354
1021284405527
1190325459a0
124160130387
1320128127c8
14105cb077a7
158488ca7d7
hex4f4a64117

21284405527 has 48 divisors (see below), whose sum is σ = 27512428032. Its totient is φ = 16279159680.

The previous prime is 21284405507. The next prime is 21284405557. The reversal of 21284405527 is 72550448212.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-21284405527 is a prime.

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 21284405527.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21284405507) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8930578 + ... + 8932960.

It is an arithmetic number, because the mean of its divisors is an integer number (573175584).

Almost surely, 221284405527 is an apocalyptic number.

21284405527 is a deficient number, since it is larger than the sum of its proper divisors (6228022505).

21284405527 is a wasteful number, since it uses less digits than its factorization.

21284405527 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2708 (or 2701 counting only the distinct ones).

The product of its (nonzero) digits is 179200, while the sum is 40.

The spelling of 21284405527 in words is "twenty-one billion, two hundred eighty-four million, four hundred five thousand, five hundred twenty-seven".

Divisors: 1 7 11 49 73 77 227 511 539 803 1589 2383 2497 3577 5621 11123 16571 16681 17479 26213 39347 115997 116767 122353 173959 182281 183491 540941 811979 1217713 1275967 1284437 1913549 3786587 5950351 8523991 8931769 13394843 26506109 39488693 41652457 93763901 276420851 291567199 434375623 1934945957 3040629361 21284405527