Search a number
-
+
56080123261920 = 25325263148078061
BaseRepresentation
bin11001100000001001010111…
…10100110111001111100000
321100120012121012202020121100
430300010223310313033200
524322304043023340140
6315134504123554400
714545440506422152
oct1460045364671740
9240505535666540
1056080123261920
11169614a063707a
12635885398ba00
13253a4435b4414
14dbc41469aad2
15673b8cd13530
hex33012bd373e0

56080123261920 has 144 divisors (see below), whose sum is σ = 192101077520352. Its totient is φ = 14897837460480.

The previous prime is 56080123261907. The next prime is 56080123261957. The reversal of 56080123261920 is 2916232108065.

56080123261920 is a `hidden beast` number, since 5 + 6 + 0 + 8 + 0 + 1 + 2 + 3 + 2 + 619 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×560801232619203 (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73660311 + ... + 74417750.

It is an arithmetic number, because the mean of its divisors is an integer number (1334035260558).

Almost surely, 256080123261920 is an apocalyptic number.

It is an amenable number.

56080123261920 is an abundant number, since it is smaller than the sum of its proper divisors (136020954258432).

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

56080123261920 is a wasteful number, since it uses less digits than its factorization.

56080123261920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148078345 (or 148078334 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

Adding to 56080123261920 its reverse (2916232108065), we get a palindrome (58996355369985).

The spelling of 56080123261920 in words is "fifty-six trillion, eighty billion, one hundred twenty-three million, two hundred sixty-one thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 263 288 360 480 526 720 789 1052 1315 1440 1578 2104 2367 2630 3156 3945 4208 4734 5260 6312 7890 8416 9468 10520 11835 12624 15780 18936 21040 23670 25248 31560 37872 42080 47340 63120 75744 94680 126240 189360 378720 148078061 296156122 444234183 592312244 740390305 888468366 1184624488 1332702549 1480780610 1776936732 2221170915 2369248976 2665405098 2961561220 3553873464 4442341830 4738497952 5330810196 5923122440 6663512745 7107746928 8884683660 10661620392 11846244880 13327025490 14215493856 17769367320 21323240784 23692489760 26654050980 35538734640 38944530043 42646481568 53308101960 71077469280 77889060086 106616203920 116833590129 155778120172 194722650215 213232407840 233667180258 311556240344 350500770387 389445300430 467334360516 584167950645 623112480688 701001540774 778890600860 934668721032 1168335901290 1246224961376 1402003081548 1557781201720 1752503851935 1869337442064 2336671802580 2804006163096 3115562403440 3505007703870 3738674884128 4673343605160 5608012326192 6231124806880 7010015407740 9346687210320 11216024652384 14020030815480 18693374420640 28040061630960 56080123261920