Search a number
-
+
1135553355 = 3252353127163
BaseRepresentation
bin100001110101111…
…0010101101001011
32221010202002100200
41003223302231023
54311200201410
6304402503243
740066021116
oct10353625513
92833662320
101135553355
11532a99052
12278364b23
1315134b581
14aab5557d
1569a5a3c0
hex43af2b4b

1135553355 has 96 divisors (see below), whose sum is σ = 2122039296. Its totient is φ = 560431872.

The previous prime is 1135553351. The next prime is 1135553383. The reversal of 1135553355 is 5533555311.

1135553355 is a `hidden beast` number, since 113 + 5 + 5 + 533 + 5 + 5 = 666.

It is not a de Polignac number, because 1135553355 - 22 = 1135553351 is a prime.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1135553351) 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 95 ways as a sum of consecutive naturals, for example, 6966504 + ... + 6966666.

It is an arithmetic number, because the mean of its divisors is an integer number (22104576).

Almost surely, 21135553355 is an apocalyptic number.

1135553355 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1135553355 is a deficient number, since it is larger than the sum of its proper divisors (986485941).

1135553355 is a wasteful number, since it uses less digits than its factorization.

1135553355 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 374 counting only the distinct ones).

The product of its digits is 84375, while the sum is 36.

The square root of 1135553355 is about 33697.9725651262. The cubic root of 1135553355 is about 1043.2839229040.

The spelling of 1135553355 in words is "one billion, one hundred thirty-five million, five hundred fifty-three thousand, three hundred fifty-five".

Divisors: 1 3 5 9 15 23 45 53 69 115 127 159 163 207 265 345 381 477 489 635 795 815 1035 1143 1219 1467 1905 2385 2445 2921 3657 3749 5715 6095 6731 7335 8639 8763 10971 11247 14605 18285 18745 20193 20701 25917 26289 33655 33741 43195 43815 54855 56235 60579 62103 77751 100965 103505 129585 131445 154813 168705 186309 198697 302895 310515 388755 464439 476123 596091 774065 931545 993485 1097153 1393317 1428369 1788273 2322195 2380615 2980455 3291459 4285107 5485765 6966585 7141845 8941365 9874377 16457295 21425535 25234519 49371885 75703557 126172595 227110671 378517785 1135553355