Search a number
-
+
67420289856 = 2631792637459
BaseRepresentation
bin111110110010100011…
…111111101101000000
320110000122011120211110
4332302203333231000
52101034043233411
650550014443320
74604511002553
oct766243775500
9213018146743
1067420289856
1126657aa5717
1211096b03540
136485b59a4a
14339817669a
151b48ddc2a6
hexfb28ffb40

67420289856 has 112 divisors (see below), whose sum is σ = 180085593600. Its totient is φ = 22259922432.

The previous prime is 67420289819. The next prime is 67420289897. The reversal of 67420289856 is 65898202476.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 67420289796 and 67420289805.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9035055 + ... + 9042513.

Almost surely, 267420289856 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 67420289856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90042796800).

67420289856 is an abundant number, since it is smaller than the sum of its proper divisors (112665303744).

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

67420289856 is a wasteful number, since it uses less digits than its factorization.

67420289856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7916 (or 7906 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 57.

The spelling of 67420289856 in words is "sixty-seven billion, four hundred twenty million, two hundred eighty-nine thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 179 192 263 358 526 537 716 789 1052 1074 1432 1578 2104 2148 2864 3156 4208 4296 5728 6312 7459 8416 8592 11456 12624 14918 16832 17184 22377 25248 29836 34368 44754 47077 50496 59672 89508 94154 119344 141231 179016 188308 238688 282462 358032 376616 477376 564924 716064 753232 1129848 1335161 1432128 1506464 1961717 2259696 2670322 3012928 3923434 4005483 4519392 5340644 5885151 7846868 8010966 9038784 10681288 11770302 15693736 16021932 21362576 23540604 31387472 32043864 42725152 47081208 62774944 64087728 85450304 94162416 125549888 128175456 188324832 256350912 351147343 376649664 702294686 1053442029 1404589372 2106884058 2809178744 4213768116 5618357488 8427536232 11236714976 16855072464 22473429952 33710144928 67420289856