Search a number
-
+
152763018441 = 311231995871723
BaseRepresentation
bin1000111001000101100…
…0101010110011001001
3112121022022120101121220
42032101120222303021
510000324313042231
6154102305352253
714015416142415
oct2162130526311
9477268511556
10152763018441
1159871817870
1225734038689
1311536b2ba07
147572709d45
153e91461896
hex239162acc9

152763018441 has 64 divisors (see below), whose sum is σ = 233559244800. Its totient is φ = 87912095040.

The previous prime is 152763018409. The next prime is 152763018461. The reversal of 152763018441 is 144810367251.

It is not a de Polignac number, because 152763018441 - 25 = 152763018409 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 152763018393 and 152763018402.

It is not an unprimeable number, because it can be changed into a prime (152763018461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 88660206 + ... + 88661928.

It is an arithmetic number, because the mean of its divisors is an integer number (3649363200).

Almost surely, 2152763018441 is an apocalyptic number.

152763018441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

152763018441 is a deficient number, since it is larger than the sum of its proper divisors (80796226359).

152763018441 is a wasteful number, since it uses less digits than its factorization.

152763018441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2546.

The product of its (nonzero) digits is 161280, while the sum is 42.

The spelling of 152763018441 in words is "one hundred fifty-two billion, seven hundred sixty-three million, eighteen thousand, four hundred forty-one".

Divisors: 1 3 11 23 33 69 199 253 587 597 759 1723 1761 2189 4577 5169 6457 6567 13501 13731 18953 19371 39629 40503 50347 56859 116813 118887 148511 151041 342877 350439 435919 445533 1011401 1028631 1284943 1307757 2686699 3034203 3771647 3854829 7886171 8060097 11125411 11314941 23262223 23658513 29553689 33376233 69786669 86747881 88661067 201268799 255884453 260243643 603806397 767653359 2213956789 4629182377 6641870367 13887547131 50921006147 152763018441