Search a number
-
+
51523516302255 = 3855623279317
BaseRepresentation
bin10111011011100010000001…
…11000110000001110101111
320202102121012102212100000000
423231301000320300032233
523223130130133133010
6301325324315035343
713565310523341504
oct1355610070601657
9222377172770000
1051523516302255
1115465000812418
12594172943bb53
132299853b6ab1a
14ca1a7415d4ab
155e53a18027c0
hex2edc40e303af

51523516302255 has 72 divisors (see below), whose sum is σ = 92754442171872. Its totient is φ = 27474223401792.

The previous prime is 51523516302227. The next prime is 51523516302259. The reversal of 51523516302255 is 55220361532515.

It is a happy number.

51523516302255 is a `hidden beast` number, since 5 + 1 + 5 + 2 + 3 + 5 + 1 + 630 + 2 + 2 + 5 + 5 = 666.

51523516302255 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 51523516302255 - 27 = 51523516302127 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 51523516302255.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51523516302259) 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 71 ways as a sum of consecutive naturals, for example, 184322857 + ... + 184602173.

It is an arithmetic number, because the mean of its divisors is an integer number (1288256141276).

Almost surely, 251523516302255 is an apocalyptic number.

51523516302255 is a deficient number, since it is larger than the sum of its proper divisors (41230925869617).

51523516302255 is an frugal number, since it uses more digits than its factorization.

51523516302255 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284969 (or 284948 counting only the distinct ones).

The product of its (nonzero) digits is 1350000, while the sum is 45.

The spelling of 51523516302255 in words is "fifty-one trillion, five hundred twenty-three billion, five hundred sixteen million, three hundred two thousand, two hundred fifty-five".

Divisors: 1 3 5 9 15 27 45 81 135 243 405 729 1215 2187 3645 5623 6561 10935 16869 28115 32805 50607 84345 151821 253035 279317 455463 759105 837951 1366389 1396585 2277315 2513853 4099167 4189755 6831945 7541559 12297501 12569265 20495835 22624677 36892503 37707795 61487505 67874031 113123385 184462515 203622093 339370155 610866279 1018110465 1570599491 1832598837 3054331395 4711798473 7852997455 9162994185 14135395419 23558992365 42406186257 70676977095 127218558771 212030931285 381655676313 636092793855 1144967028939 1908278381565 3434901086817 5724835144695 10304703260451 17174505434085 51523516302255