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21085284852 = 22332942115991
BaseRepresentation
bin10011101000110001…
…111110100111110100
32000102110200110012000
4103220301332213310
5321140313103402
613404134455300
71344340651452
oct235061764764
960373613160
1021085284852
118a40103655
124105504530
131cb04a5818
1410404b39d2
15836196c1c
hex4e8c7e9f4

21085284852 has 96 divisors (see below), whose sum is σ = 56688441600. Its totient is φ = 6769526400.

The previous prime is 21085284851. The next prime is 21085284917. The reversal of 21085284852 is 25848258012.

21085284852 is a `hidden beast` number, since 210 + 85 + 284 + 85 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 21085284798 and 21085284807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21085284851) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1310577 + ... + 1326567.

It is an arithmetic number, because the mean of its divisors is an integer number (590504600).

Almost surely, 221085284852 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 21085284852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28344220800).

21085284852 is an abundant number, since it is smaller than the sum of its proper divisors (35603156748).

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

21085284852 is a wasteful number, since it uses less digits than its factorization.

21085284852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16454 (or 16446 counting only the distinct ones).

The product of its (nonzero) digits is 409600, while the sum is 45.

The spelling of 21085284852 in words is "twenty-one billion, eighty-five million, two hundred eighty-four thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 87 108 116 174 261 348 421 522 783 842 1044 1263 1566 1684 2526 3132 3789 5052 7578 11367 12209 15156 15991 22734 24418 31982 36627 45468 47973 48836 63964 73254 95946 109881 143919 146508 191892 219762 287838 329643 431757 439524 463739 575676 659286 863514 927478 1318572 1391217 1727028 1854956 2782434 4173651 5564868 6732211 8347302 12520953 13464422 16694604 20196633 25041906 26928844 40393266 50083812 60589899 80786532 121179798 181769697 195234119 242359596 363539394 390468238 585702357 727078788 780936476 1171404714 1757107071 2342809428 3514214142 5271321213 7028428284 10542642426 21085284852