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21061636146 = 2334730727031
BaseRepresentation
bin10011100111010111…
…110001000000110010
32000100211011222021000
4103213113301000302
5321113234324041
613401531542430
71343632645005
oct234727610062
960324158230
1021061636146
118a28820a71
1240b95baa16
131ca86156c5
14103b2b953c
15834074bb6
hex4e75f1032

21061636146 has 64 divisors (see below), whose sum is σ = 47956930560. Its totient is φ = 6848537040.

The previous prime is 21061636129. The next prime is 21061636157. The reversal of 21061636146 is 64163616012.

It is a happy number.

21061636146 is a `hidden beast` number, since 2 + 1 + 0 + 6 + 1 + 636 + 14 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 21061636146.

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 31 ways as a sum of consecutive naturals, for example, 765651 + ... + 792681.

It is an arithmetic number, because the mean of its divisors is an integer number (749327040).

Almost surely, 221061636146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21061636146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23978465280).

21061636146 is an abundant number, since it is smaller than the sum of its proper divisors (26895294414).

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

21061636146 is a wasteful number, since it uses less digits than its factorization.

21061636146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27396 (or 27390 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 21061636146 in words is "twenty-one billion, sixty-one million, six hundred thirty-six thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 18 27 47 54 94 141 282 307 423 614 846 921 1269 1842 2538 2763 5526 8289 14429 16578 27031 28858 43287 54062 81093 86574 129861 162186 243279 259722 389583 486558 729837 779166 1270457 1459674 2540914 3811371 7622742 8298517 11434113 16597034 22868226 24895551 34302339 49791102 68604678 74686653 149373306 224059959 390030299 448119918 780060598 1170090897 2340181794 3510272691 7020545382 10530818073 21061636146