Search a number
-
+
21220107438612 = 22317367598147389
BaseRepresentation
bin1001101001100101100001…
…11101110100101000010100
32210010121210202212022221210
410310302300331310220110
510240132240001013422
6113044214402541420
74320050021104635
oct464626075645024
983117722768853
1021220107438612
116841440495395
122468723067870
13bac0805c28c4
145350b703788c
1526beb4e6110c
hex134cb0f74a14

21220107438612 has 96 divisors (see below), whose sum is σ = 52578897154560. Its totient is φ = 6637898741760.

The previous prime is 21220107438599. The next prime is 21220107438659. The reversal of 21220107438612 is 21683470102212.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 447761814 + ... + 447809202.

It is an arithmetic number, because the mean of its divisors is an integer number (547696845360).

Almost surely, 221220107438612 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 21220107438612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26289448577280).

21220107438612 is an abundant number, since it is smaller than the sum of its proper divisors (31358789715948).

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

21220107438612 is a wasteful number, since it uses less digits than its factorization.

21220107438612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53761 (or 53759 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The spelling of 21220107438612 in words is "twenty-one trillion, two hundred twenty billion, one hundred seven million, four hundred thirty-eight thousand, six hundred twelve".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 367 734 1101 1468 2202 4404 5981 6239 11962 12478 17943 18717 23924 24956 35886 37434 47389 71772 74868 94778 101677 142167 189556 203354 284334 305031 406708 568668 610062 805613 1220124 1611226 2195027 2416839 3222452 4390054 4833678 6585081 8780108 9667356 13170162 17391763 26340324 34783526 37315459 52175289 69567052 74630918 104350578 111946377 149261836 208701156 223892754 283433609 295659971 447785508 566867218 591319942 850300827 886979913 1133734436 1182639884 1700601654 1773959826 3401203308 3547919652 4818371353 9636742706 14455114059 19273485412 28910228118 57820456236 104020134503 208040269006 312060403509 416080538012 624120807018 1248241614036 1768342286551 3536684573102 5305026859653 7073369146204 10610053719306 21220107438612