Search a number
-
+
20350020436254 = 233171011811212613
BaseRepresentation
bin1001010000010000110111…
…01111010100000100011110
32200001102221220122222022000
410220020123233110010132
510131403320212430004
6111140400442503130
74200145322444025
oct450103357240436
980042856588260
1020350020436254
116536439015453
122347b78804aa6
13b47cca189202
14504d366cd8bc
1525453dac4c39
hex12821bbd411e

20350020436254 has 128 divisors (see below), whose sum is σ = 48623687199360. Its totient is φ = 6286180608000.

The previous prime is 20350020436201. The next prime is 20350020436261. The reversal of 20350020436254 is 45263402005302.

20350020436254 is a `hidden beast` number, since 2 + 0 + 3 + 5 + 0 + 0 + 20 + 4 + 3 + 625 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16175652 + ... + 17388264.

It is an arithmetic number, because the mean of its divisors is an integer number (379872556245).

Almost surely, 220350020436254 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20350020436254, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24311843599680).

20350020436254 is an abundant number, since it is smaller than the sum of its proper divisors (28273666763106).

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

20350020436254 is a wasteful number, since it uses less digits than its factorization.

20350020436254 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1212923 (or 1212917 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

The spelling of 20350020436254 in words is "twenty trillion, three hundred fifty billion, twenty million, four hundred thirty-six thousand, two hundred fifty-four".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 101 102 153 181 202 303 306 362 459 543 606 909 918 1086 1629 1717 1818 2727 3077 3258 3434 4887 5151 5454 6154 9231 9774 10302 15453 18281 18462 27693 30906 36562 46359 54843 55386 83079 92718 109686 164529 166158 310777 329058 493587 621554 932331 987174 1212613 1864662 2425226 2796993 3637839 5593986 7275678 8390979 10913517 16781958 20614421 21827034 32740551 41228842 61843263 65481102 122473913 123686526 185529789 219482953 244947826 367421739 371059578 438965906 556589367 658448859 734843478 1102265217 1113178734 1316897718 1975346577 2082056521 2204530434 3306795651 3731210201 3950693154 4164113042 5926039731 6246169563 6613591302 7462420402 11193630603 11852079462 12492339126 18738508689 22167778253 22387261206 33580891809 37477017378 44335556506 56215526067 66503334759 67161783618 100742675427 112431052134 133006669518 199510004277 201485350854 376852230301 399020008554 598530012831 753704460602 1130556690903 1197060025662 2261113381806 3391670072709 6783340145418 10175010218127 20350020436254