Search a number
-
+
158920656336 = 243213201742089
BaseRepresentation
bin1001010000000001101…
…0001100010111010000
3120012012110020210211200
42110000122030113100
510100432142000321
6201001313111200
714324126201451
oct2240032142720
9505173223750
10158920656336
1161441627302
1226972258500
1311ca876c030
147998431128
154201d36d26
hex250068c5d0

158920656336 has 120 divisors (see below), whose sum is σ = 479218052040. Its totient is φ = 48873259008.

The previous prime is 158920656289. The next prime is 158920656341. The reversal of 158920656336 is 633656029851.

It is a happy number.

158920656336 is a `hidden beast` number, since 1 + 58 + 9 + 20 + 6 + 563 + 3 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 72576360000 + 86344296336 = 269400^2 + 293844^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3754780 + ... + 3796868.

It is an arithmetic number, because the mean of its divisors is an integer number (3993483767).

Almost surely, 2158920656336 is an apocalyptic number.

158920656336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 158920656336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239609026020).

158920656336 is an abundant number, since it is smaller than the sum of its proper divisors (320297395704).

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

158920656336 is a wasteful number, since it uses less digits than its factorization.

158920656336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44133 (or 44124 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 158920656336 in words is "one hundred fifty-eight billion, nine hundred twenty million, six hundred fifty-six thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 2017 4034 6051 8068 12102 16136 18153 24204 26221 32272 36306 42089 48408 52442 72612 78663 84178 96816 104884 126267 145224 157326 168356 209768 235989 252534 290448 314652 336712 378801 419536 471978 505068 547157 629304 673424 757602 943956 1010136 1094314 1258608 1515204 1641471 1887912 2020272 2188628 3030408 3282942 3775824 4377256 4924413 6060816 6565884 8754512 9848826 13131768 19697652 26263536 39395304 78790608 84893513 169787026 254680539 339574052 509361078 679148104 764041617 1018722156 1103615669 1358296208 1528083234 2037444312 2207231338 3056166468 3310847007 4074888624 4414462676 6112332936 6621694014 8828925352 9932541021 12224665872 13243388028 17657850704 19865082042 26486776056 39730164084 52973552112 79460328168 158920656336