Search a number
-
+
20573414447740 = 22571136713639161
BaseRepresentation
bin1001010110110000111110…
…00011110101101001111100
32200211210120121220120112021
410223120133003311221330
510144033323044311430
6111431143543445524
74222244250301120
oct453303703655174
980753517816467
1020573414447740
116612155120740
122383322a568a4
13b630ac09011b
14511a89745580
1525a265c3807a
hex12b61f0f5a7c

20573414447740 has 96 divisors (see below), whose sum is σ = 53879627547648. Its totient is φ = 6410744256000.

The previous prime is 20573414447731. The next prime is 20573414447759. The reversal of 20573414447740 is 4774441437502.

It is a super-2 number, since 2×205734144477402 (a number of 27 digits) contains 22 as substring.

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, 3833760 + ... + 7472920.

It is an arithmetic number, because the mean of its divisors is an integer number (561246120288).

Almost surely, 220573414447740 is an apocalyptic number.

20573414447740 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20573414447740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26939813773824).

20573414447740 is an abundant number, since it is smaller than the sum of its proper divisors (33306213099908).

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

20573414447740 is a wasteful number, since it uses less digits than its factorization.

20573414447740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3642859 (or 3642857 counting only the distinct ones).

The product of its (nonzero) digits is 10536960, while the sum is 52.

The spelling of 20573414447740 in words is "twenty trillion, five hundred seventy-three billion, four hundred fourteen million, four hundred forty-seven thousand, seven hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 770 1540 3671 7342 14684 18355 25697 36710 40381 51394 73420 80762 102788 128485 161524 201905 256970 282667 403810 513940 565334 807620 1130668 1413335 2826670 3639161 5653340 7278322 14556644 18195805 25474127 36391610 40030771 50948254 72783220 80061542 101896508 127370635 160123084 200153855 254741270 280215397 400307710 509482540 560430794 800615420 1120861588 1401076985 2802153970 5604307940 13359360031 26718720062 53437440124 66796800155 93515520217 133593600310 146952960341 187031040434 267187200620 293905920682 374062080868 467577601085 587811841364 734764801705 935155202170 1028670722387 1469529603410 1870310404340 2057341444774 2939059206820 4114682889548 5143353611935 10286707223870 20573414447740