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20413142355056 = 241119137201122157
BaseRepresentation
bin1001010010000110011100…
…00110010100110001110000
32200021110212222200200112112
410221003032012110301300
510133422103420330211
6111225400152344452
74204541461056563
oct451031606246160
980243788620475
1020413142355056
11656018a7652a0
1223582540a5128
13b50c49647019
14508003a444da
15255ed545088b
hex1290ce194c70

20413142355056 has 160 divisors (see below), whose sum is σ = 45773124261120. Its totient is φ = 8721452390400.

The previous prime is 20413142355013. The next prime is 20413142355061. The reversal of 20413142355056 is 65055324131402.

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, 921284330 + ... + 921306486.

It is an arithmetic number, because the mean of its divisors is an integer number (286082026632).

Almost surely, 220413142355056 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 20413142355056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22886562130560).

20413142355056 is an abundant number, since it is smaller than the sum of its proper divisors (25359981906064).

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

20413142355056 is a wasteful number, since it uses less digits than its factorization.

20413142355056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24343 (or 24337 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 41.

Adding to 20413142355056 its reverse (65055324131402), we get a palindrome (85468466486458).

The spelling of 20413142355056 in words is "twenty trillion, four hundred thirteen billion, one hundred forty-two million, three hundred fifty-five thousand, fifty-six".

Divisors: 1 2 4 8 11 16 19 22 38 44 76 88 137 152 176 209 274 304 418 548 836 1096 1507 1672 2011 2192 2603 3014 3344 4022 5206 6028 8044 10412 12056 16088 20824 22121 22157 24112 28633 32176 38209 41648 44242 44314 57266 76418 88484 88628 114532 152836 176968 177256 229064 243727 275507 305672 353936 354512 420299 420983 458128 487454 551014 611344 840598 841966 974908 1102028 1681196 1683932 1949816 2204056 3030577 3035509 3362392 3367864 3899632 4408112 4630813 5234633 6061154 6071018 6724784 6735728 9261626 10469266 12122308 12142036 18523252 20938532 24244616 24284072 33390599 37046504 41877064 44557727 48489232 48568144 57580963 57674671 66781198 74093008 83754128 89115454 115161926 115349342 133562396 178230908 230323852 230698684 267124792 356461816 460647704 461397368 490134997 534249584 634421381 712923632 846596813 921295408 922794736 980269994 1268842762 1693193626 1960539988 2537685524 3386387252 3921079976 5075371048 6104408599 6772774504 7842159952 9312564943 10150742096 12208817198 13545549008 18625129886 24417634396 37250259772 48835268792 67148494589 74500519544 97670537584 115983763381 134296989178 149001039088 231967526762 268593978356 463935053524 537187956712 927870107048 1074375913424 1275821397191 1855740214096 2551642794382 5103285588764 10206571177528 20413142355056