Search a number
-
+
59220233201232 = 24331078573149441
BaseRepresentation
bin11010111011100010010001…
…11101101010011001010000
321202200101202212120220012000
431131301020331222121100
530230231014144414412
6325541222145434000
715321343404465315
oct1535611075523120
9252611685526160
1059220233201232
1117962183856a24
12678534033b900
1327075a06b9b4c
14108a3bb63cd0c
156ca6c2c434dc
hex35dc48f6a650

59220233201232 has 160 divisors (see below), whose sum is σ = 171593799615360. Its totient is φ = 19553179115520.

The previous prime is 59220233201219. The next prime is 59220233201237. The reversal of 59220233201232 is 23210233202295.

59220233201232 is a `hidden beast` number, since 5 + 9 + 2 + 202 + 3 + 320 + 123 + 2 = 666.

59220233201232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (59220233201237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 396203632 + ... + 396353072.

It is an arithmetic number, because the mean of its divisors is an integer number (1072461247596).

Almost surely, 259220233201232 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 59220233201232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85796899807680).

59220233201232 is an abundant number, since it is smaller than the sum of its proper divisors (112373566414128).

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

59220233201232 is a wasteful number, since it uses less digits than its factorization.

59220233201232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158138 (or 158126 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 59220233201232 in words is "fifty-nine trillion, two hundred twenty billion, two hundred thirty-three million, two hundred one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 107 108 144 214 216 321 428 432 642 856 963 1284 1712 1926 2568 2889 3852 5136 5778 7704 8573 11556 15408 17146 23112 25719 34292 46224 51438 68584 77157 102876 137168 149441 154314 205752 231471 298882 308628 411504 448323 462942 597764 617256 896646 917311 925884 1195528 1234512 1344969 1793292 1834622 1851768 2391056 2689938 2751933 3586584 3669244 3703536 4034907 5379876 5503866 7173168 7338488 8069814 8255799 10759752 11007732 14676976 15990187 16139628 16511598 21519504 22015464 24767397 31980374 32279256 33023196 44030928 47970561 49534794 63960748 64558512 66046392 95941122 99069588 127921496 132092784 143911683 191882244 198139176 255842992 287823366 383764488 396278352 431735049 575646732 767528976 863470098 1151293464 1281157693 1726940196 2302586928 2562315386 3453880392 3843473079 5124630772 6907760784 7686946158 10249261544 11530419237 15373892316 20498523088 23060838474 30747784632 34591257711 46121676948 61495569264 69182515422 92243353896 137083873151 138365030844 184486707792 274167746302 276730061688 411251619453 548335492604 553460123376 822503238906 1096670985208 1233754858359 1645006477812 2193341970416 2467509716718 3290012955624 3701264575077 4935019433436 6580025911248 7402529150154 9870038866872 14805058300308 19740077733744 29610116600616 59220233201232